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KCI등재
학술저널
THE RELIABLE MODIFIED OF ADOMIAN DECOMPOSITION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 32, No. 4
- : KCI등재
- 2019.11
- 409 - 420 (12 pages)
In this article, we discussed semi-analytical approximated methods for solving mixed Volterra-Fredholm integro-differential equations, namely: Adomian decomposition method and modified Adomian decomposition method. Moreover, we prove the unique-ness results and convergence of the techniques. Finally, an example is included to demonstrate the validity and applicability of the proposed techniques.
1. Introduction
2. Nonlinear Mixed Volterra-Fredholm Integro-Differential Equation of Second Kind
3. Description of the Methods
4. Uniqueness and Convergence Results
5. Numerical Example
6. Conclusion