In this paper, the new iterative method (NIM) is applied to solve nonlinear fractional gas dynamics equation. Further, a coupling of the Sumudu transform and Adomian decomposion (STADM) is used to get an approximate solution of the same problem. The results obtained by the two methods are found to be in agreement. Therefore, the NIM may be considered efficient method for finding approximate sol...

An algorithm based on Sumudu transform is developed. The algorithm can be implemented in computer algebra systems like Maple. It can be used to solve differential equations of the following form automatically without human interaction

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This work discusses the beginning of fractional calculus and how Sumudu Elzaki transforms are applied to derivatives. approach combines a double Sumudu-Elzaki transform strategy discover analytic solutions space-time partial differential equations in Mittag-Leffler functions subject initial boundary conditions. Where this method gets closer correct answer, technique's efficacy is demonstrated u...

The fundamental purpose of this paper is to propose a new Laplace-type integral transform (NL-TIT) for solving steady heat-transfer problems. proposed generalization the Sumudu, and Laplace transforms its visualization more comfortable than Sumudu transform, natural Elzaki transform. suggested used solve problems, results are compared with existing techniques.

In this work, we take Adomian Decomposition Method (ADM) and combine it with Sumudu Transform method (STM). This connection between the two methods is called Sumudu-Decomposition (SDM), then use to solve generalized Hirota-Satsuma Coupled kdv (H-SC kdv) systems also applied STM, find approximate solutions of system one. Then compare way exact solitary solutions. Clarifying best through tables d...