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 ◽

New Family ◽

Domain Integral

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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 ◽

New Family ◽

Domain Integral

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Boundary-domain integral equations for the diffusion equation in inhomogeneous media based on a new family of parametrices

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2019.1591382 ◽

2019 ◽

Vol 65 (4) ◽

pp. 558-572

Author(s):

C. Fresneda-Portillo

Keyword(s):

Diffusion Equation ◽

Integral Equations ◽

Inhomogeneous Media ◽

New Family ◽

Domain Integral

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A new family of boundary-domain integral equations for the diffusion equation with variable coefficient in unbounded domains

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020228 ◽

2020 ◽

Vol 0 (0) ◽

pp. 1-18

Author(s):

Carlos Fresneda-Portillo ◽

Keyword(s):

Diffusion Equation ◽

Integral Equations ◽

Variable Coefficient ◽

Unbounded Domains ◽

New Family ◽

Domain Integral

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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

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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 ◽

Cited By ~ 1

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

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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

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Numerical solution of the three-dimensional Dirichlet problem for inhomogeneous media by the method of integral equations

Differential Equations ◽

10.1134/s0012266113090115 ◽

2013 ◽

Vol 49 (9) ◽

pp. 1160-1167

Author(s):

E. V. Zakharov ◽

A. V. Kalinin

Keyword(s):

Dirichlet Problem ◽

Numerical Solution ◽

Integral Equations ◽

Three Dimensional ◽

Inhomogeneous Media ◽

Method Of Integral Equations

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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 ◽

General Data

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A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer Problem with Variable Coefficient

Integral Methods in Science and Engineering, Volume 1 ◽

10.1007/978-3-319-59384-5_19 ◽

2017 ◽

pp. 215-226

Author(s):

S. E. Mikhailov ◽

C. F. Portillo

Keyword(s):

Heat Transfer ◽

Integral Equations ◽

Variable Coefficient ◽

Transfer Problem ◽

Heat Transfer Problem ◽

Stationary Heat ◽

New Family ◽

Domain Integral ◽

Stationary Heat Transfer

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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

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