Abstract
In this paper a parametric iteration method (PIM) is purposed for solving Linear FredholmIntegro-differential equations (LFIDEs). The solution process is illustrated by some examples. Comparisons are made between PIM and exact solution and CAS wavelet method. The results show the simplicity and efficiency of PIM. Also, the convergence of this method is studied in this work
Highlights
It is well known that many events in scientific fields deal with integro-differential equations
The various numerical methods exist for solving Linear FredholmIntegro-differential equations (LFIDEs) for example variation iteration method [4], Adomian decomposition method [5], Chebyshev Polynomials [6], Bernstein's approximation [7]
We present the results of examples 1, 2 in two tables and plot the h-curve to determine region of h (Rh).All the computations have been done with Maple 13
Summary
It is well known that many events in scientific fields deal with integro-differential equations. We consider linear integro-differential equations as the following: Some examples are given and we solve them using parametric iteration method and compare the obtained results with exact solution.
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