Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem with General Data

Integral Methods in Science and Engineering ◽

10.1007/978-3-030-16077-7_4 ◽

2019 ◽

pp. 37-52

Author(s):

Tsegaye G. Ayele

Keyword(s):

Dirichlet Problem ◽

Integral Equations ◽

Variable Coefficient ◽

Domain Integral ◽

Download Full-text

Analysis of two‐operator boundary‐domain integral equations for variable coefficient BVPs with general data

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6774 ◽

2020 ◽

Author(s):

Tsegaye G. Ayele

Keyword(s):

Integral Equations ◽

Variable Coefficient ◽

Domain Integral ◽

Download Full-text

Two-Operator Boundary-Domain Integral Equations for Variable Coefficient Dirichlet Problem in 2D

Integral Methods in Science and Engineering ◽

10.1007/978-3-030-16077-7_5 ◽

2019 ◽

pp. 53-66

Author(s):

Tsegaye G. Ayele ◽

Solomon T. Bekele

Keyword(s):

Dirichlet Problem ◽

Integral Equations ◽

Variable Coefficient ◽

Domain Integral

Download Full-text

Analysis of Two-operator Boundary-Domain Integral Equations for Variable Coefficient BVPs with General Data

Authorea ◽

10.22541/au.157936385.55221873 ◽

2020 ◽

Author(s):

Tsegaye Ayele

Keyword(s):

Integral Equations ◽

Variable Coefficient ◽

Domain Integral ◽

Download Full-text

Analysis of Boundary–Domain Integral Equations for Variable-Coefficient Dirichlet BVP in 2D

Integral Methods in Science and Engineering ◽

10.1007/978-3-319-16727-5_15 ◽

2015 ◽

pp. 163-175 ◽

Author(s):

T. T. Dufera ◽

S. E. Mikhailov

Keyword(s):

Integral Equations ◽

Variable Coefficient ◽

Domain Integral

Download Full-text

A New Family of Boundary-Domain Integral Equations for the Dirichlet Problem of the Diffusion Equation in Inhomogeneous Media with H-1(Ω) Source Term on Lipschitz Domains

Authorea ◽

10.22541/au.158240022.24115314 ◽

2020 ◽

Author(s):

C Fresneda Portillo ◽

Zenebe Woldemicheal

Keyword(s):

Dirichlet Problem ◽

Diffusion Equation ◽

Integral Equations ◽

Source Term ◽

Inhomogeneous Media ◽

Lipschitz Domains ◽

Domain Integral

Download Full-text

Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain

Journal of Integral Equations and Applications ◽

10.1216/jie.2020.32.59 ◽

2020 ◽

Vol 32 (1) ◽

pp. 59-75

Author(s):

S. E. Mikhailov ◽

C. F. Portillo

Keyword(s):

Integral Equations ◽

Lipschitz Domain ◽

Variable Coefficient ◽

Domain Integral

Download Full-text

On the Existence and Uniqueness of Solution of Boundary-Domain Integral Equations for the Dirichlet Problem for the Non-Homogeneous Heat Transfer Equation defined on a 2D Unbounded Domain

Authorea ◽

10.22541/au.158594498.86896032 ◽

2020 ◽

Author(s):

Zenebe Woldemicheal ◽

C Fresneda Portillo

Keyword(s):

Heat Transfer ◽

Dirichlet Problem ◽

Integral Equations ◽

Unbounded Domain ◽

Transfer Equation ◽

Existence And Uniqueness ◽

Uniqueness Of Solution ◽

Heat Transfer Equation ◽

Domain Integral

Download Full-text

A new family of boundary‐domain integral equations for the Dirichlet problem of the diffusion equation in inhomogeneous media with H −1 (Ω) source term on Lipschitz domains

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6659 ◽

2020 ◽

Author(s):

Carlos Fresneda‐Portillo ◽

Zenebe Woldemicheal

Keyword(s):

Dirichlet Problem ◽

Diffusion Equation ◽

Integral Equations ◽

Source Term ◽

Inhomogeneous Media ◽

Lipschitz Domains ◽

Domain Integral

Download Full-text

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

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2019.1687457 ◽

2019 ◽

Vol 65 (12) ◽

pp. 2056-2070 ◽

Author(s):

C. Fresneda-Portillo ◽

Z. W. Woldemicheal

Keyword(s):

Integral Equation ◽

Dirichlet Problem ◽

Diffusion Equation ◽

Variable Coefficient ◽

Equation System ◽

Existence Of Solution ◽

Domain Integral

Download Full-text

On the existence and uniqueness of solution of boundary‐domain integral equations for the Dirichlet problem for the nonhomogeneous heat transfer equation defined on a 2D unbounded domain

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6967 ◽

2020 ◽

Author(s):

Z. W. Woldemicheal ◽

C. Fresneda‐Portillo

Keyword(s):

Heat Transfer ◽

Dirichlet Problem ◽

Integral Equations ◽

Unbounded Domain ◽

Transfer Equation ◽

Existence And Uniqueness ◽

Uniqueness Of Solution ◽

Heat Transfer Equation ◽

Domain Integral ◽

Nonhomogeneous Heat

Download Full-text