A Chebyshev collocation method for nonlinear fractional Fisher s equation
Publish Year: 1397
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICBVPA01_008
تاریخ نمایه سازی: 5 آذر 1397
Abstract:
The fractional Fisher s equation can be used for anomalous population, such as ananomalous population of human, trees, cells or neutrons in a nuclear reactor. In thispaper, we use collocation method based on Chebyshev polynomials to solve nonlinearfractional Fisher s equation. To this end, we obtain a system of nonlinear equationswhich can be solved by Newton s method. Numerical examples show the e ciency ande ectiveness of the method. Like other spectral methods we observe that the approxima-tion is exact for solutions of polynomial types.
Keywords:
Chebyshev collocation method , Nonlinear fractional partial di erentialequations , Di usion equation , Fisher s equation
Authors
S Mockary
Shahr-e-Rey Branch, Islamic Azad University, Department of Mathematics
E Babolian
Shahr-e-Rey Branch, Islamic Azad University, Department of Mathematics
A.R Vahidi
Shahr-e-Rey Branch, Islamic Azad University, Department of Mathematics
B Shiri
University of Tabriz, Faculty of Mathematical Science