A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach
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DOI: 10.1016/j.heliyon.2021.e07001
Abstract: In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki integral transform (an improved version of Laplace transform) and a modified differential transform called the projected differential transform (PDTM) have… read more here.
Keywords: fisher equation; burgers fisher; solution; differential transform ... See more keywords
A numerical procedure for approximating time fractional nonlinear Burgers–Fisher models and its error analysis
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DOI: 10.1063/5.0143690
Abstract: Burger and Fisher diffusion transfer properties and reactions from the characteristics are studied using a non-linear equation. The nonlinear fractional Burgers–Fisher equation (NFB-FE) appears in realistic physical situations such as ultra-slow kinetics, Brownian motion of… read more here.
Keywords: approximating time; time fractional; burgers fisher; numerical procedure ... See more keywords
A bounded and monotone finite-difference solution of a hyperbolic Burgers–Fisher equation
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DOI: 10.1142/s012918311850122x
Abstract: In this work, a nonlinear finite-difference scheme is provided to approximate the solutions of a hyperbolic generalization of the Burgers–Fisher equation from population dynamics. The model under study is a partial differential equation with nonlinear… read more here.
Keywords: difference; bounded monotone; fisher equation; burgers fisher ... See more keywords
Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations
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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… read more here.
Keywords: generalized burgers; fisher burgers; burgers huxley; method ... See more keywords
Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations
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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… read more here.
Keywords: generalized burgers; inverse problem; problem; burgers huxley ... See more keywords
An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers–Fisher type arising in applied sciences
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2020-0040
Abstract: Abstract In this study, the second-order nonlinear partial differential equations of Burgers–Fisher type are considered under a unique formulation by introducing a novel highly accurate numerical method based on the Nörlund rational polynomial and matrix-collocation… read more here.
Keywords: equations burgers; fisher type; burgers fisher; nonlinear partial ... See more keywords