Relevant bibliographies by topics / Double Laplace – Upadhyaya Transform

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Double Laplace – Upadhyaya Transform'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Double Laplace – Upadhyaya Transform"

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Al-Momani, Monther, Ali Jaradat, and Baha Abughazale. "Double Laplace-Sawi Transform." European Journal of Pure and Applied Mathematics 18, no. 1 (2025): 5619. https://doi.org/10.29020/nybg.ejpam.v18i1.5619.

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The primary objective of this study is to develop a new integral transform by combining the Laplace and Sawi transforms, and to investigate its key properties, existence, and the inversion theorem. Furthermore, we introduce new results related to partial differential equations in higher dimensions and extend the double convolution theorem to two dimensions. Using these new properties and theorems, we solve special type differential equations with some real applications in physics and related sciences.
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Ranjit, Dhunde, and Dhongle Prashant. "Solving Two-Dimensional Helmholtz and Poisson Equations Using Double Laplace Transform Method." Indian Journal of Science and Technology 18, no. 12 (2025): 962–68. https://doi.org/10.17485/IJST/v18i12.3705.

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Abstract <strong>Objectives:</strong>&nbsp;To explore the efficacy of the double Laplace transform technique in solving 2D Helmholtz and Poisson equations.&nbsp;<strong>Methods:</strong>&nbsp;The double Laplace transform clearly converts the 2D Helmholtz and Poisson equations into an algebraic calculation in the Laplace domain that can be solved easily.&nbsp;<strong>Findings:</strong>&nbsp;The double Laplace transform method offers exact solutions to the Helmholtz and Poisson equations by resolving a series of specific and understandable examples.&nbsp;<strong>Novelty:</strong>&nbsp;This resea
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Eltayeb, Hassan, and Said Mesloub. "The New G-Double-Laplace Transforms and One-Dimensional Coupled Sine-Gordon Equations." Axioms 13, no. 6 (2024): 385. http://dx.doi.org/10.3390/axioms13060385.

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This paper establishes a novel technique, which is called the G-double-Laplace transform. This technique is an extension of the generalized Laplace transform. We study its properties with examples and various theorems related to the G-double-Laplace transform that have been addressed and proven. Finally, we apply the G-double-Laplace transform decomposition method to solve the nonlinear sine-Gordon and coupled sine-Gordon equations. This method is a combination of the G-double-Laplace transform and decomposition method. In addition, some examples are examined to establish the accuracy and effe
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Shabestari, R. Mastani, and R. Ezzati. "The Fuzzy Double Laplace Transforms and their Properties with Applications to Fuzzy Wave Equation." New Mathematics and Natural Computation 17, no. 02 (2021): 319–38. http://dx.doi.org/10.1142/s1793005721500174.

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The main focus of this paper is develop of the fuzzy double Laplace transform to solve a fuzzy wave equation. In this scheme, a fuzzy wave equation can be solved without converting it to two crisp equations. Some properties of the fuzzy Laplace transform and the fuzzy double Laplace transform are proved. The superiority and accuracy of the fuzzy double Laplace transform to wave equation are illustrated through some examples.
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Eltayeb, Hassan. "Note on Relation between Double Laplace Transform and Double Differential Transform." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/535020.

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Dhunde, Ranjit R. "Double Laplace Transform Method for Solving Fractional Fourth-Order Partial Integro-Differential Equations with Weakly Singular Kernel." Indian Journal Of Science And Technology 17, no. 36 (2024): 3712–18. http://dx.doi.org/10.17485/ijst/v17i36.2005.

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Objectives: To investigates the solutions of fourth order partial integro-differential equations with high-order non-integer derivatives and weakly singular kernels. Methods: Weakly singular kernels present challenges in both analytical and numerical treatments due to their intricate behaviour near singular points. In this article, we introduce a novel approach utilizing the double Laplace transform method to effectively address these challenges. Findings: By solving a series of precise and understandable examples, the double Laplace transform clearly transforms the fractional partial integro-
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Ahmed, Shams A. "Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics." Abstract and Applied Analysis 2021 (March 1, 2021): 1–8. http://dx.doi.org/10.1155/2021/6625247.

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The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace–Sumudu transform (DLST) and prove some related theorems of the new double transform. Also, we will discuss the fundamental properties of the double Laplace–Sumudu transform of some basic functions. Then, by utilizing those outcomes, we will apply it to the partial differential equations to show its simplicity, efficiency, and high accuracy.
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Kiliçman, A., and H. E. Gadain. "An application of double Laplace transform and double Sumudu transform." Lobachevskii Journal of Mathematics 30, no. 3 (2009): 214–23. http://dx.doi.org/10.1134/s1995080209030044.

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Ranjit, R. Dhunde. "Double Laplace Transform Method for Solving Fractional Fourth-Order Partial Integro-Differential Equations with Weakly Singular Kernel." Indian Journal of Science and Technology 17, no. 36 (2024): 3712–18. https://doi.org/10.17485/IJST/v17i36.2005.

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Abstract <strong>Objectives:</strong>&nbsp;To investigates the solutions of fourth order partial integro-differential equations with high-order non-integer derivatives and weakly singular kernels.&nbsp;<strong>Methods:</strong>&nbsp;Weakly singular kernels present challenges in both analytical and numerical treatments due to their intricate behaviour near singular points. In this article, we introduce a novel approach utilizing the double Laplace transform method to effectively address these challenges.&nbsp;<strong>Findings:</strong>&nbsp;By solving a series of precise and understandable exam
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Borawake, Vijay, and Anil Hiwarekar. "Modified double Laplace transform of partial derivatives and its applications." Gulf Journal of Mathematics 16, no. 2 (2024): 353–63. http://dx.doi.org/10.56947/gjom.v16i2.1892.

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This paper deals with modified double Laplace transforms of partial derivatives and their applications. Starting with standard results on modified double Laplace transform, we developed theorems on modified double Laplace transform of first and second-order partial derivatives. Further, we applied our results to solve homogeneous and non-homogeneous partial differential equations, D' Alembert's wave equation, and Klein-Gordon equation.
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Dissertations / Theses on the topic "Double Laplace – Upadhyaya Transform"

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Dundar, Serdar. "Solution Of One-dimensional Transient Flow In Fractured Aquifers By Numerical Laplace Transform Inversion." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606771/index.pdf.

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Laplace transform step-response functions are presented for one dimensional transient flow in fractured semi-infinite &amp<br>finite aquifers. Unsteady flow in the aquifer resulting from a constant discharge pumped from the stream is considered. Flow is one-dimensional, perpendicular to the stream in the confined aquifers. The stream is assumed to penetrate the full thickness of the aquifer. The aquifers may be semi-infinite or finite in width. The Laplace domain solutions are numerically inverted to the real-time domain with the Stehfest (1970) algorithm. During the course of the thesis a sim
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Dzharayan, Gayk, and Elena Voronova. "Pricing of exotic options under the Kou model by using the Laplace transform." Thesis, Högskolan i Halmstad, Tillämpad matematik och fysik (MPE-lab), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-16023.

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In this thesis we present the Laplace transform method of option pricing and it's realization, also compare it with another methods. We consider vanilla and exotic options, but more attention we pay to the two-asset correlation options. We chose the one of the modifications of Black-Scholes model, the Kou double exponential jump-diffusion model with the double exponential distribution of jumps, as model of the underlying stock prices development. The computations was done by the Laplace transform and it's inversion by the Euler method. We will present in details proof of finding Laplace transf
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Nadratowska, Natalia Beata, and Damian Prochna. "Option pricing under the double exponential jump-diffusion model by using the Laplace transform : Application to the Nordic market." Thesis, Halmstad University, School of Information Science, Computer and Electrical Engineering (IDE), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-5336.

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<p>In this thesis the double exponential jump-diffusion model is considered and the Laplace transform is used as a method for pricing both plain vanilla and path-dependent options. The evolution of the underlying stock prices are assumed to follow a double exponential jump-diffusion model. To invert the Laplace transform, the Euler algorithm is used. The thesis includes the programme code for European options and the application to the real data. The results show how the Kou model performs on the NASDAQ OMX Stockholm Market in the case of the SEB stock.</p>
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Bakar, Urun. "Solution Of One Dimensional Transient Flow In Composite Aquifers Using Stehfest Algorithm." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612429/index.pdf.

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In this study, piezometric heads in a composite aquifer composed of an alluvial deposit having a width adjacent to a semi-infinite fractured rock are determined. One dimensional transient flow induced by a constant discharge pumping rate from a stream intersecting alluvial part of the aquifer is considered. Parts of the aquifer are homogeneous andisotropic. Equations of flow, initial and boundary conditions are converted to dimensionless forms for graphical presentation and the interpretation of results independent of discharge and head inputs specific to the problem. Equations are solved firs
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Book chapters on the topic "Double Laplace – Upadhyaya Transform"

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Rogosin, S., and M. Dubatovskaya. "Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian." In Integral Methods in Science and Engineering, Volume 1. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59384-5_25.

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Saadeh, Rania, Laith Hamdi, and Ahmad Qazza. "Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4876-1_18.

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Conference papers on the topic "Double Laplace – Upadhyaya Transform"

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Omran, Maryam, and Adem Kiliçman. "Fractional double Laplace transform and its properties." In 2ND INTERNATIONAL CONFERENCE AND WORKSHOP ON MATHEMATICAL ANALYSIS 2016 (ICWOMA2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4972165.

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Zhang, Jiali, Xinwei Liao, and Nai Cao. "Mathematical Model for Rate Transient Analysis with Additional Interface Skin for Fractured Horizontal Well With Weak Fluid Supply." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/206169-ms.

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Abstract This paper develops a mathematical model for rate transient analysis in multi-stage fractured horizontal wells with considering weak fluid supply. A new concept of additional skin factor is introduced in the proposed model to characterize the fluid supply. Then, the mathematical model are solved by using the perturbation transformation, point source integration method, Laplace transform, and numerical inversion, while the fracture flow equations are solved by fracture discretization and superposition principle. First, the flow regimes of multi-stage fractured horizontal wells with con
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Ai, Shuang, Wei Pang, Juan Du, Mike Liu, and Syed Tabish Haider. "An Analytical Model for Pressure Transient Behavior of Acid-Fractured Well in Fracture-Cave Oil Reservoir: A Field Example from Tarim Basin in China." In Middle East Oil, Gas and Geosciences Show. SPE, 2023. http://dx.doi.org/10.2118/213478-ms.

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Abstract In fracture-cavity carbonate reservoirs, caves and fractures are the basic storage space. The SN oil and gas field in the Tarim Basin is one of this special fracture-cave oil reservoir. The main storage and seepage space are large caves and large fractures, and the pore space is large, which can reach above the meter level. It is very difficult to interpret this kind of oil reservoirs by the conventional triple medium well testing method. It is of practical significance to establish a well testing interpretation model for cave-type reservoirs and to interpret the well testing data of
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