arXiv Analytics

Sign in

arXiv:1712.07582 [math.NA]AbstractReferencesReviewsResources

Solving differential and integral equations with Tau method

de Matos, João Carrilho, Matos, José M. A., Rodrigues, Maria João

Published 2017-12-20Version 1

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.

Related articles: Most relevant | Search more
arXiv:1703.00743 [math.NA] (Published 2017-03-02)
Avoiding Similarity Transformations in the Operational Tau method
arXiv:1508.07539 [math.NA] (Published 2015-08-30)
A meshless based method for solution of integral equations: Improving the error analysis
arXiv:math/9906058 [math.NA] (Published 1999-06-09)
Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics