Solving Differential and Integral Equations with Tau Method
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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.
KeywordsOperational Tau method Orthogonal polynomials Differential equations Integral equations
Mathematics Subject Classification80M22 45A05
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- 5.Ortiz, E.L., Samara, H.: A new operational approach to the numerical solution of differential equations in terms of polynomials. In: Shaw, R., Pilkey, W. (eds.) Innovative Numerical Analysis for the Engineering Sciences, pp. 643–652. The University Press of Virginia, Charlottesville (1980)Google Scholar
- 7.Matos, J.M.A., Rodrigues, M.J., Matos, J.C.: Explicit formulae for derivatives and primitives of orthogonal polynomials (2017). arXiv:1703.00743v2 [math.NA]