Application of Laplace Decomposition Method to Integro-Differential Equations
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- Integral Equation, Integro-Differential Equation, Laplace Transforms, Adomian Decomposition Method
- Jamshad Ahmad; Sundas Rubab; Iffat siddique; Liaqat Tahir
- In this paper, we apply the proposed modified Laplace Adomian decomposition method (LADM) which is the coupling of Laplace transform and Adomian decomposition method by using He’s polynomial to solve the integro-differential equations. Several examples are tested and the results of the study are discussed. The obtained results explicitly reveal the complete reliability, efficiency, and accuracy of the proposed algorithm for solving the integro-differential equations and hence can be extended to other problems of diverse nature.
Full text: IJISM_180_Final.pdf