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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th-cmuir.6653943832-627712018-11-29T07:48:12Z Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients Teeranush Suebcharoen Mathematics © 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. 2018-11-29T07:48:12Z 2018-11-29T07:48:12Z 2018-08-01 Journal 16860209 2-s2.0-85052888848 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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Mathematics Teeranush Suebcharoen Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
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© 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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Journal |
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Teeranush Suebcharoen |
| author_facet |
Teeranush Suebcharoen |
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Teeranush Suebcharoen |
| title |
Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
| title_short |
Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
| title_full |
Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
| title_fullStr |
Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
| title_full_unstemmed |
Euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
| title_sort |
euler-taylor matrix method for solving linear volterra-fredholm integro-differential equations with variable coefficients |
| publishDate |
2018 |
| url |
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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