Gegenbauer wavelet collocation method for the extended Fisher‐Kolmogorov equation in two dimensions
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DOI: 10.1002/mma.6300
Abstract: Gegenbauer wavelets operational matrices play an important role in the numeric solution of differential equations. In this study, operational matrices of rth integration of Gegenbauer wavelets are derived and used to obtain an approximate solution… read more here.
Keywords: extended fisher; method; fisher kolmogorov; equation ... See more keywords
Positive Solutions for Nonlocal Extended Fisher–Kolmogorov and Swift–Hohenberg Equations
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DOI: 10.1007/s00009-021-01709-5
Abstract: In this paper we study the existence of positive solutions for a class of nonlocal fourth-order nonautonomous differential equations which can be seen as generalization of extended Fisher-Kolmogorov and Swift-Hohenberg equations. The main result is… read more here.
Keywords: fisher kolmogorov; swift hohenberg; extended fisher; positive solutions ... See more keywords
Polynomial Based Differential Quadrature Methods for the Numerical Solution of Fisher and Extended Fisher–Kolmogorov Equations
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DOI: 10.1007/s40819-017-0376-7
Abstract: In this paper, polynomial based differential quadrature method is employed to construct the framework of three numerical schemes for reaction–diffusion problems. Finite difference methods are also used in conjunction with differential quadrature in two of… read more here.
Keywords: extended fisher; quadrature; differential quadrature; polynomial based ... See more keywords
Chebyshev Wavelets Collocation Method for Extended Fisher Kolmogorov Equations One and Two Space Dimension
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DOI: 10.1007/s40819-021-01093-4
Abstract: In this study, Chebyshev wavelet collocation method has been applied to obtain approximate solution of nonlinear partial differential equations. Firstly, Chebyshev wavelets and Chebyshev wavelets collocation method have been mentioned and operational matrices of rth integration… read more here.
Keywords: extended fisher; method; chebyshev wavelets; wavelets collocation ... See more keywords