The numerical solution of initial-boundary value problem for nonlinear Fisher’s equation by using non-polynomial spline functions

The numerical solution of initial-boundary value problem for nonlinear Fisher’s equation by using non-polynomial spline functions

Nonlinear Fisher’s equations are solved by using a new three level method based on non-polynomial spline in the space direction and Taylor expansion in the time direction. Numerical results reveal that three level method based on non-polynomial spline is implemented and effective.

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Boundary value problems
Mathematical analysis
Nonlinear equations
Polynomials
Spline functions
Taylor series
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description Nonlinear Fisher’s equations are solved by using a new three level method based on non-polynomial spline in the space direction and Taylor expansion in the time direction. Numerical results reveal that three level method based on non-polynomial spline is implemented and effective.
doi_str_mv 10.1063/1.4930469
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subjects Boundary value problems
Mathematical analysis
Nonlinear equations
Polynomials
Spline functions
Taylor series
title The numerical solution of initial-boundary value problem for nonlinear Fisher’s equation by using non-polynomial spline functions
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