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Published in 2020 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2020.1812594
Abstract: We consider the generalized Burgers–Huxley (GBH) equation subject to certain initial and boundary conditions (BCs). Using a solitary wave solution, we derive an exact finite difference (EFD) scheme for the GBH equation. Furthermore, we propose…
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Keywords:
generalized burgers;
burgers huxley;
time;
scheme ... See more keywords
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Published in 2018 at "Mathematical Problems in Engineering"
DOI: 10.1155/2018/6143934
Abstract: In this study, we introduce a new numerical technique for solving nonlinear generalized Burgers-Fisher and Burgers-Huxley equations using hybrid B-spline collocation method. This technique is based on usual finite difference scheme and Crank-Nicolson method which…
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Keywords:
generalized burgers;
fisher burgers;
burgers huxley;
method ... See more keywords
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Published in 2021 at "Advances in Mathematical Physics"
DOI: 10.1155/2021/6652108
Abstract: In this paper, the boundary value inverse problem related to the generalized Burgers–Fisher and generalized Burgers–Huxley equations is solved numerically based on a spline approximation tool. B-splines with quasilinearization and Tikhonov regularization methods are used…
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Keywords:
generalized burgers;
inverse problem;
problem;
burgers huxley ... See more keywords
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Published in 2017 at "Thermal Science"
DOI: 10.2298/tsci151224127h
Abstract: A meshless method based upon radial basis function (RBF) is utilized to approximate the singularly perturbed Burgers-Huxley (SPBH) equation with the viscosity coefficient e. The proposed method shows that the obtained solutions are reliable and…
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Keywords:
perturbed burgers;
singularly perturbed;
meshless method;
burgers huxley ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15030688
Abstract: In this paper, we propose the new iterative method (NIM) for solving the generalized Burgers–Huxley equation. NIM provides an approximate solution without the need for discretization and is based on a set of iterative equations.…
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Keywords:
method nim;
iterative method;
method;
generalized burgers ... See more keywords