Approximate solutions of linear Volterra integral equation systems with variable coefficients |
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Authors: | Hüseyin Hilmi Sorkun Salih Yalçinba? |
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Institution: | Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, 45047 Manisa, Turkey |
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Abstract: | In this paper, a new approximate method has been presented to solve the linear Volterra integral equation systems (VIEs). This method transforms the integral system into the matrix equation with the help of Taylor series. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Taylor coefficients of the solution function. Also, this method gives the analytic solution when the exact solutions are polynomials. So as to show this capability and robustness, some systems of VIEs are solved by the presented method in order to obtain their approximate solutions. |
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Keywords: | Taylor polynomials Taylor series System of integral equations Volterra integral equations |
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