Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients
© 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, we present a numerical method for solving the high-order linear Volterra-Fredholm integro-differential equations with constant arguments and variable coefficients.The proposed method is based on the Euler polynom...
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| Format: | Journal |
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2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052888848&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62771 |
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| Institution: | Chiang Mai University |
| Summary: | © 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, we present a numerical method for solving the high-order linear Volterra-Fredholm integro-differential equations with constant arguments and variable coefficients.The proposed method is based on the Euler polynomials and collocation points which transforms the integro-differential equation into a matrix equation. The matrix equation corresponds to a system of algebraic equations for which the unknown are Euler coefficients. Some examples are provided to illustrate the validity of the method. |
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