Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices. (English) Zbl 1132.65117
Summary: We use operational matrices of piecewise constant orthogonal functions on the interval [0,1) to solve singular Volterra integral equation systems of convolution type. We first obtain the Laplace transform of the problem and then we find the numerical inversion of Laplace transform by operational matrices. Numerical examples show that the approximate solutions have a good degree of accuracy.
MSC:
| 65R20 | Numerical methods for integral equations |
| 45F15 | Systems of singular linear integral equations |
| 44A10 | Laplace transform |
| 65R10 | Numerical methods for integral transforms |
Keywords:
singular Volterra integral equations; system of convolution type; piecewise constant orthogonal functions; operational matrices; Laplace transforms; inversion of Laplace transform; numerical examplesReferences:
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