Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation

Abstract

Abstract The current paper concentrates on discovering the exact solutions of the time-fractional regular and singular coupled Burger’s equations by involving a new technique known as the double Sumudu-generalized Laplace and Adomian decomposition method. Furthermore, some theorems of the double Sumudu-generalized Laplace properties are proved. Further, the offered method is a powerful tool for solving an enormous number of problems. The precision of the technique is evaluated with the aid of some examples, this method offers a solution precisely and successfully in a series form with smoothly calculated coefficients. The relation between both the approximate and exact solution is represented by a graph to display the high speed of this method’s convergence.

Keywords

• Double Sumudu-generalized Laplace
• Double Sumudu transform
• Inverse double Sumudu-generalized Laplace
• Time-Fractional Coupled Burger’s equation
• Decomposition methods