Solving a nonlinear heat equation with nonlocal boundary conditions by a method of nonlocal boundary shape functions

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2021.1945243 ◽

2021 ◽

pp. 1-13

Author(s):

Chein-Shan Liu ◽

Jiang-Ren Chang

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Nonlinear Heat Equation ◽

Shape Functions ◽

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Corrigendum to “Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions” [J. Math. Anal. Appl. 492 (2) (2020) 124512]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124941 ◽

2021 ◽

Vol 498 (1) ◽

pp. 124941

Author(s):

Ionuţ Munteanu

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Exponential Stabilization ◽

Semilinear Heat Equation

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On the determination of unknown source in the heat equation with nonlocal boundary conditions

Ukrainian Mathematical Journal ◽

10.1007/bf01060166 ◽

1995 ◽

Vol 47 (10) ◽

pp. 1647-1652 ◽

Author(s):

N. I. Ivanchov

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

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Hybrid Numerical Method for Heat Equation with Nonlocal Boundary Conditions in Parallel Computing Environment

Research Journal of Applied Sciences Engineering and Technology ◽

10.19026/rjaset.7.325 ◽

2014 ◽

Vol 7 (4) ◽

pp. 832-838

Author(s):

S.A. Mardan ◽

M.A. Rehman

Keyword(s):

Parallel Computing ◽

Boundary Conditions ◽

Heat Equation ◽

Numerical Method ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Computing Environment ◽

Hybrid Numerical Method

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Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.059 ◽

2019 ◽

Vol 346 ◽

pp. 800-815

Author(s):

A. Hazanee ◽

D. Lesnic ◽

M.I. Ismailov ◽

N.B. Kerimov

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

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Exact and approximation product solutions form of heat equation with nonlocal boundary conditions using Ritz-Galerkin method with Bernoulli polynomials basis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22136 ◽

2017 ◽

Vol 33 (4) ◽

pp. 1143-1158 ◽

Author(s):

Z. Barikbin ◽

E. Keshavarz Hedayati

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Galerkin Method ◽

Nonlocal Boundary ◽

Bernoulli Polynomials ◽

Nonlocal Boundary Conditions

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On the Heat Equation with Nonlinear and Nonlocal Boundary Conditions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1995.1113 ◽

1995 ◽

Vol 190 (3) ◽

pp. 806-820 ◽

Author(s):

B. Jumarhon ◽

S. Mckee

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions

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The two-dimensional heat equation with nonlocal boundary conditions

Differential Equations ◽

10.1007/bf02754498 ◽

2000 ◽

Vol 36 (7) ◽

pp. 982-987 ◽

Author(s):

N. I. Ionkin ◽

V. A. Morozova

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Two Dimensional

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Approximate solution for a variable-coefficient semilinear heat equation with nonlocal boundary conditions

International Journal of Computer Mathematics ◽

10.1080/00207160903229881 ◽

2009 ◽

Vol 86 (12) ◽

pp. 2248-2258 ◽

Author(s):

Shiping Zhou ◽

Minggen Cui

Keyword(s):

Approximate Solution ◽

Boundary Conditions ◽

Heat Equation ◽

Variable Coefficient ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Semilinear Heat Equation

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An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.06.046 ◽

2012 ◽

Vol 396 (2) ◽

pp. 546-554 ◽

Author(s):

Nazim B. Kerimov ◽

Mansur I. Ismailov

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Coefficient Problem ◽

Inverse Coefficient Problem ◽

Inverse Coefficient

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Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124512 ◽

2020 ◽

Vol 492 (2) ◽

pp. 124512

Author(s):

Ionuţ Munteanu

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Exponential Stabilization ◽

Semilinear Heat Equation

Download Full-text