**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30172

##### Numerical Algorithms for Solving a Type of Nonlinear Integro-Differential Equations

**Authors:**
Shishen Xie

**Abstract:**

In this article two algorithms, one based on variation iteration method and the other on Adomian's decomposition method, are developed to find the numerical solution of an initial value problem involving the non linear integro differantial equation where R is a nonlinear operator that contains partial derivatives with respect to x. Special cases of the integro-differential equation are solved using the algorithms. The numerical solutions are compared with analytical solutions. The results show that these two methods are efficient and accurate with only two or three iterations

**Keywords:**
variation iteration method,
decomposition method,
nonlinear integro-differential equations

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1054907

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