Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations
Keyword(s):
Abstract Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions. Results The quasilinearization technique is used to linearize the nonlinear term. A nonstandard methodology of Mickens procedure is used in the spatial direction and also within the first order temporal direction that construct the first-order finite difference approximation to solve the considered problem numerically. To accelerate the rate of convergence from first to second-order, the Richardson extrapolation technique is applied. Numerical experiments were conducted to support the theoretical results.
2013 ◽
Vol 13
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pp. 1357-1388
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2019 ◽
Vol 2019
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pp. 1-14
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2021 ◽
Vol 5
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pp. 1-14
2004 ◽
Vol 2004
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pp. 191-199
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2011 ◽
Vol 17
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pp. 779-794
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Numerical Dynamics of Nonstandard Finite Difference Method for Nonlinear Delay Differential Equation
2018 ◽
Vol 28
(11)
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pp. 1850133
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