In this paper, we construct an approximate solution for an initial-boundary value problem involving a third order partial differential equation. Also, we present an approximate solution for the fractional case of the problem by using Mittag--Lefler function. Our method is based on spectral method for solving the related spectral problem. Finally, the proposed method is tested on some numerical examples
Samei,M E and Derakhshan,M H . (2025). A Numerical Approach with Spectral Technique to Solve Fractional PDEs of Third Order. Journal of Applied Mathematics & Data Analytics, 1(4), 38-48. doi: 10.311581/JAMDA.2511.1025.1.4.4
MLA
Samei,M E , and Derakhshan,M H . "A Numerical Approach with Spectral Technique to Solve Fractional PDEs of Third Order", Journal of Applied Mathematics & Data Analytics, 1, 4, 2025, 38-48. doi: 10.311581/JAMDA.2511.1025.1.4.4
HARVARD
Samei M E, Derakhshan M H. (2025). 'A Numerical Approach with Spectral Technique to Solve Fractional PDEs of Third Order', Journal of Applied Mathematics & Data Analytics, 1(4), pp. 38-48. doi: 10.311581/JAMDA.2511.1025.1.4.4
CHICAGO
M E Samei and M H Derakhshan, "A Numerical Approach with Spectral Technique to Solve Fractional PDEs of Third Order," Journal of Applied Mathematics & Data Analytics, 1 4 (2025): 38-48, doi: 10.311581/JAMDA.2511.1025.1.4.4
VANCOUVER
Samei M E, Derakhshan M H. A Numerical Approach with Spectral Technique to Solve Fractional PDEs of Third Order. JAMDA. 2025;1(4):38-48. doi: 10.311581/JAMDA.2511.1025.1.4.4
