On the existence of solution of the boundary-domain integral equation system derived from the 2D Dirichlet problem for the diffusion equation with variable coefficient using a novel parametrix-Reference-Cited by-同舟云学术

On the existence of solution of the boundary-domain integral equation system derived from the 2D Dirichlet problem for the diffusion equation with variable coefficient using a novel parametrix

Published:2019-11-13 Issue:12 Volume:65 Page:2056-2070
ISSN:1747-6933
Container-title:Complex Variables and Elliptic Equations
language:en
Short-container-title:Complex Variables and Elliptic Equations

Author:

Fresneda-Portillo C.¹^ORCID,Woldemicheal Z. W.²

Affiliation:

1. School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford, UK

2. Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia

Funder

London Mathematical Society

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/17476933.2019.1687457

Reference29 articles.

1. Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, I: Equivalence and invertibility

2. ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS

3. Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients

4. A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems

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