Two-point Taylor approximations of the solutions of two-dimensional boundary value problems

DOI10.1016/j.amc.2012.02.060zbMath1245.65097OpenAlexW2003040130MaRDI QIDQ440841

Ester Pérez Sinusía, José Luis López

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.060

zbMATH Keywords

Frobenius methodtwo-dimensional elliptic boundary value problemtwo-point Taylor expansion for two variable functions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Solutions to PDEs in closed form (35C05)

Cites Work

• Multi-point Taylor approximations in one-dimensional linear boundary value problems
• Taylor polynomial solutions of linear differential equations.
• Taylor polynomial solutions of second order linear partial differential equations
• Two-point Taylor expansions in the asymptotic approximation of double integrals. Application to the second and fourth Appell functions
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