On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

Vicente Soler; Emilio Defez; Roberto Capilla; José Antonio Verdoy

doi:10.1155/2014/826860

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Home > Journals > Abstr. Appl. Anal. > Volume 2014 > Article

2014 On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

Vicente Soler, Emilio Defez, Roberto Capilla, José Antonio Verdoy

Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/826860

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Abstract

An exact series solution for nonhomogeneous parabolic coupled systems of the type ${u}_{t}-A{u}_{xx}=G(x, t), {A}_{1}u(0, t)+{B}_{1}{u}_{x}(0, t)=0, {A}_{2}u(l, t)+{B}_{2}{u}_{x}(l, t)=0, 0<x<1, t>0, u(x, 0)=f(x)$ , where ${A}_{1}, {A}_{2}, {B}_{1}$ , and ${B}_{2}$ are arbitrary matrices for which the block matrix $(\begin{array}{cc}{A}_{1}& {B}_{1}\\[5pt] {A}_{2}& {B}_{2}\end{array})$ is nonsingular, and A is a positive stable matrix, is constructed.

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Vicente Soler. Emilio Defez. Roberto Capilla. José Antonio Verdoy. "On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/826860

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Published: 2014

First available in Project Euclid: 27 February 2015

zbMATH: 07023149

MathSciNet: MR3272217

Digital Object Identifier: 10.1155/2014/826860

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Vicente Soler, Emilio Defez, Roberto Capilla, José Antonio Verdoy "On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems," Abstract and Applied Analysis, Abstr. Appl. Anal. 2014(none), 1-10, (2014)

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