A Chebyshev collocation method for nonlinear fractional Fisher s equation

سال انتشار: 1397
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 413

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شناسه ملی سند علمی:

ICBVPA01_008

تاریخ نمایه سازی: 5 آذر 1397

چکیده مقاله:

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.

کلیدواژه ها:

Chebyshev collocation method ، Nonlinear fractional partial di erentialequations ، Di usion equation ، Fisher s equation

نویسندگان

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