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Relevant bibliographies by topics / Adams-Bashforth

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Journal articles

Academic literature on the topic 'Adams-Bashforth'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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Journal articles on the topic "Adams-Bashforth"

1

Murni, Delvitri, Bukti Ginting, and Narwen . "PENERAPAN METODE ADAMS-BASHFORTH-MOULTON ORDE EMPAT UNTUK MENENTUKAN SOLUSI PERSAMAAN DIFERENSIAL LINIER HOMOGEN ORDE TIGA KOEFISIEN KONSTAN." Jurnal Matematika UNAND 5, no. 2 (2016): 21. http://dx.doi.org/10.25077/jmu.5.2.21-25.2016.

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Abstrak. Persamaan diferensial linier homogen orde tiga koesien konstan direduksimenjadi persamaan diferensial biasa orde-1, yaitu y0= f(x; y) dengan syarat awaly(x0) = y. Persamaan diferensial biasa orde-1 diselesaikan menggunakan metodeRunge-Kutta orde empat untuk menentukan nilai pendekatan y01; y2; dan y. Selanjutnya,digunakan metode Adams-Bashforth orde empat untuk menentukan nilai pendekatany; ; dst sebagai prediktor. Nilai yang ditampilkan oleh metode Adams-Bashforthorde empat digunakan pada metode Adams-Moulton orde empat sebagai korektor. Prosesmetode Adams-Bashforth orde empat dan me

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2

Misirli, Emine, and Yusuf Gurefe. "Multiplicative Adams Bashforth–Moulton methods." Numerical Algorithms 57, no. 4 (2010): 425–39. http://dx.doi.org/10.1007/s11075-010-9437-2.

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3

Ewald, Brian. "Weak Versions of Stochastic Adams-Bashforth and Semi-implicit Leapfrog Schemes for SDEs." Computational Methods in Applied Mathematics 12, no. 1 (2012): 23–31. http://dx.doi.org/10.2478/cmam-2012-0002.

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AbstractWe consider the weak analogues of certain strong stochastic numerical schemes, namely an Adams-Bashforth scheme and a semi-implicit leapfrog scheme. We show that the weak version of the Adams-Bashforth scheme converges weakly with order 2, and the weak version of the semi-implicit leapfrog scheme converges weakly with order 1. We also note that the weak schemes are computationally simpler and easier to implement than the corresponding strong schemes, resulting in savings in both programming and computational effort.

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4

Ma, Shichang, Yufeng Xu, and Wei Yue. "Numerical Solutions of a Variable-Order Fractional Financial System." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/417942.

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The numerical solution of a variable-order fractional financial system is calculated by using the Adams-Bashforth-Moulton method. The derivative is defined in the Caputo variable-order fractional sense. Numerical examples show that the Adams-Bashforth-Moulton method can be applied to solve such variable-order fractional differential equations simply and effectively. The convergent order of the method is also estimated numerically. Moreover, the stable equilibrium point, quasiperiodic trajectory, and chaotic attractor are found in the variable-order fractional financial system with proper order

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5

Hahm, Nahm-Woo, and Bum-Il Hong. "A GENERALIZATION OF THE ADAMS-BASHFORTH METHOD." Honam Mathematical Journal 32, no. 3 (2010): 481–91. http://dx.doi.org/10.5831/hmj.2010.32.3.481.

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6

Kar, Sajal K. "An Explicit Time-Difference Scheme with an Adams–Bashforth Predictor and a Trapezoidal Corrector." Monthly Weather Review 140, no. 1 (2012): 307–22. http://dx.doi.org/10.1175/mwr-d-10-05066.1.

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Abstract A new predictor-corrector time-difference scheme that employs a second-order Adams–Bashforth scheme for the predictor and a trapezoidal scheme for the corrector is introduced. The von Neumann stability properties of the proposed Adams–Bashforth trapezoidal scheme are determined for the oscillation and friction equations. Effectiveness of the scheme is demonstrated through a number of time integrations using finite-difference numerical models of varying complexities in one and two spatial dimensions. The proposed scheme has useful implications for the fully implicit schemes currently e

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7

Peinado, J., J. Ibáñez, E. Arias, and V. Hernández. "Adams–Bashforth and Adams–Moulton methods for solving differential Riccati equations." Computers & Mathematics with Applications 60, no. 11 (2010): 3032–45. http://dx.doi.org/10.1016/j.camwa.2010.10.002.

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8

Segarra, Jaime. "MÉTODOS NUMÉRICOS RUNGE-KUTTA Y ADAMS BASHFORTH-MOULTON EN MATHEMATICA." Revista Ingeniería, Matemáticas y Ciencias de la Información 7, no. 14 (2020): 13–32. http://dx.doi.org/10.21017/rimci.2020.v7.n14.a81.

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n este estudio, el objetivo principal es realizar el análisis de los métodos numéricos Runge-Kutta y Adams Bashforth-Moulton. Para cumplir con el objetivo se utilizó el sistema de ecuaciones diferenciales del modelo Lotka-Volterra y se usó el software matemático Wolfram Mathematica. En los resultados se realiza la comparación de los métodos RK4, AB4 y AM4 con el comando NDSolve utilizando el modelo Lotka-Volterra. Los resultados obtenidos en los diagramas de fase y la tabla de puntos de la iteración indicaron que el método RK4 tiene mayor precisión que los métodos AB4 y AM4.

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9

JANKOWSKA, MAŁGORZATA, and ANDRZEJ MARCINIAK. "ON EXPLICIT INTERVAL METHODS OF ADAMS-BASHFORTH TYPE." Computational Methods in Science and Technology 8, no. 2 (2002): 46–57. http://dx.doi.org/10.12921/cmst.2002.08.02.46-57.

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10

Kumar, Sunil, Ali Ahmadian, Ranbir Kumar, et al. "An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets." Mathematics 8, no. 4 (2020): 558. http://dx.doi.org/10.3390/math8040558.

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In this paper, the operational matrix based on Bernstein wavelets is presented for solving fractional SIR model with unknown parameters. The SIR model is a system of differential equations that arises in medical science to study epidemiology and medical care for the injured. Operational matrices merged with the collocation method are used to convert fractional-order problems into algebraic equations. The Adams–Bashforth–Moulton predictor correcter scheme is also discussed for solving the same. We have compared the solutions with the Adams–Bashforth predictor correcter scheme for the accuracy a

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