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Abdolmaleki, E, Saberi Najafi, H. (1398). Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method. هنرهای کاربردی, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), 155-167. doi: 10.22075/ijnaa.2019.4428
E Abdolmaleki; H Saberi Najafi. "Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method". هنرهای کاربردی, 10, Special Issue ( Nonlinear Analysis in Engineering and Sciences), 1398, 155-167. doi: 10.22075/ijnaa.2019.4428
Abdolmaleki, E, Saberi Najafi, H. (1398). 'Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method', هنرهای کاربردی, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), pp. 155-167. doi: 10.22075/ijnaa.2019.4428
Abdolmaleki, E, Saberi Najafi, H. Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method. هنرهای کاربردی, 1398; 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)): 155-167. doi: 10.22075/ijnaa.2019.4428

Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method

International Journal of Nonlinear Analysis and Applications
دوره 10، Special Issue ( Nonlinear Analysis in Engineering and Sciences)، اسفند 2019، صفحه 155-167    اصل مقاله (438.48 K)
نوع مقاله: Special issue editorial
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4428
نویسندگان
E Abdolmaleki؛ H Saberi Najafi*
Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan 4695113111, Iran.
تاریخ دریافت: 30 خرداد 1398،  تاریخ بازنگری: 25 مرداد 1398،  تاریخ پذیرش: 07 مهر 1399 
چکیده
The Newell-Whitehead-Segel equation is an important model arising in biology, finance, fluid mechanics and some more processes. Various researchers worked on approximate solution of this model by using different methods. In this paper, the Newell-Whitehead-Segel equation of fractional order is solved by using a generalized Taylor series formula together with residual error function, which is named the residual power series method (RPSM). The illustrative examples are presented to demonstrate the accuracy and effectiveness of the proposed method.
کلیدواژه‌ها
Functional residual power series؛ Newell-Whitehead-Segel equation of fractional order؛ Caputo fractional derivative
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