Application of the Operational Matrices for Solving Nonlinear Volterra Integral Equations System of the Second Kind
College Of Basic Education Researches Journal,
2013, Volume 12, Issue 1, Pages 773-785
AbstractIn this paper, we use the Operational Matrices generated from Haar Wavelets to solve Nonlinear Volterra Integral Equations System of the Second Kind. We found that high accuracy of the results in this method in the solution of nonlinear integral equations is realized even in case of the small capacity matrices, but the accuracy of the solutions increases when the capacity of the matrices being used gets larger.
As for its efficiency it is tested by solving two examples for which the exact solution is known. This allows us to estimate the More Accuracy of the obtained numerical results.
Keywords: Operational Matrices, Nonlinear Volterra Integral Equations, Haar Wavelets.
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