Aboodh transform homotopy perturbation method for solving fractional‐order Newell‐Whitehead‐Segel equation
Haresh P. Jani, Twinkle R. Singh
Abstract
This work applies the Aboodh transform with the homotopy perturbation method (HPM) to solve fractional differential equations. As the Aboodh transform is limited to linear equations only, HPM is an effective and dominant method for nonlinear differential equations to obtain approximate solutions. The role of NWSE is important in nonlinear systems that explain how stripes arise in two‐dimensional systems. The ATHPM solution has also been compared with LTDM and VIM methods, and it has been shown that ATHPM has more accuracy with a less absolute error than the exact solution, VIM, and LTDM. The final results perform very well with the exact solution. Maple is used to represent 3‐D surfaces and to find numerical values shown in tables.