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.
Abdolmaleki, E. & Saberi Najafi, H. (2019). Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method. International Journal of Nonlinear Analysis and Applications, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), 155–167. https://doi.org/10.22075/ijnaa.2019.4428
MLA
Abdolmaleki, E., & Saberi Najafi, H. "Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method", International Journal of Nonlinear Analysis and Applications, 10, Special Issue ( Nonlinear Analysis in Engineering and Sciences), 2019, 155–167. doi: 10.22075/ijnaa.2019.4428
HARVARD
Abdolmaleki, E., & Saberi Najafi, H. (2019). 'Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method', International Journal of Nonlinear Analysis and Applications, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), pp. 155–167. doi: 10.22075/ijnaa.2019.4428
CHICAGO
Abdolmaleki, E. & Saberi Najafi, H., "Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method." International Journal of Nonlinear Analysis and Applications, 10 Special Issue ( Nonlinear Analysis in Engineering and Sciences) (2019): 155–167, doi: 10.22075/ijnaa.2019.4428
VANCOUVER
Abdolmaleki E., Saberi Najafi H. Analytical Solution for the Time Fractional Newell-Whitehead-Segel Equation by Using Modified Residual Power Series Method. IJNAA. 2019;10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)):155–167. doi: 10.22075/ijnaa.2019.4428
International Journal of Nonlinear Analysis and Applications