Solving Differential and Integral Equations with Tau Method

In this work we present a new approach for the implementation of operational Tau method for the solutions of linear differential and integral equations. In our approach we use the three terms relation of an orthogonal polynomial basis to compute the operational matrices. We also give numerical appli...

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Bibliographic Details
Published in:Mathematics in computer science 2018-06, Vol.12 (2), p.197-205
Main Authors: Matos, J. C., Matos, J. M. A., Rodrigues, M. J.
Format: Article
Language:English
Subjects:
Computer Science
Differential equations
Integral equations
Mathematics
Mathematics and Statistics
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Summary:In this work we present a new approach for the implementation of operational Tau method for the solutions of linear differential and integral equations. In our approach we use the three terms relation of an orthogonal polynomial basis to compute the operational matrices. We also give numerical applications of operational matrices to solve differential and integral problems using the operational Tau method.
ISSN:1661-8270
1661-8289
DOI:10.1007/s11786-018-0334-8