A NEW MODIFICATION OF THE DIFFERENTIAL TRANSFORM METHOD | Asian Journal of Mathematics and Computer

The ModDTM, a new variant of the Differential Transform Method, is introduced in this article as a method for solving (1 + 1) partial differential equations with initial conditions set at the initial value of the spatial variable. To test the method's usefulness, definitions and properties are constructed and then applied to solving two nonlinear partial differential equations, the Rosenau-Hyman equation and the Newell-Whitehead-Segel equation. The acquired solutions are compared to the exact solutions and the Reduced Differential Transform Method solutions. When the attached initial conditions pertain to the spatial variable, the ModDTM is found to be an effective method for solving (1+1) partial differential equations.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/5475