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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Bibliographische Detailangaben
1. Verfasser: Yilmaz Serhat
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Boundary value problems
Mathematical analysis
Nonlinear equations
Polynomials
Spline functions
Taylor series
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Beschreibung
Zusammenfassung: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4930469