The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2020.4.04 ◽

2020 ◽

Vol 19 (4) ◽

pp. 45-56

Author(s):

Hakkı Duru ◽

Baransel Güneş

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Reaction Diffusion ◽

Adaptive Mesh ◽

Singularly Perturbed ◽

Diffusion Boundary ◽

The Finite Difference Method

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On the Error of the Finite Difference Method in l-dimensional Boundary Value Problems

Journal of the Physical Society of Japan ◽

10.1143/jpsj.11.160 ◽

1956 ◽

Vol 11 (2) ◽

pp. 160-169 ◽

Author(s):

Hiroshi Fujita

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Dimensional Boundary ◽

The Finite Difference Method

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On a fourth-order finite-difference method for singularly perturbed boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.05.103 ◽

2008 ◽

Vol 203 (2) ◽

pp. 828-837 ◽

Author(s):

Dragoslav Herceg ◽

Djordje Herceg

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Fourth Order ◽

Difference Method ◽

Boundary Value ◽

Singularly Perturbed

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Variable Mesh Finite Difference Method for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1003-m2809 ◽

2010 ◽

Vol 28 (5) ◽

pp. 711-724 ◽

Author(s):

Mohan K. Kadalbajoo and Devendra Kumar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

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The Finite Difference Method Adopted for Solving Laplace Boundary Value Problems

Lecture Notes Electrical Engineering - Fundamental Numerical Methods for Electrical Engineering ◽

10.1007/978-3-540-79519-3_8 ◽

2008 ◽

pp. 223-268

Author(s):

Stanisław Rosłoniec

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

The Finite Difference Method

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Note on the convergence of the finite-difference method for nonlinear boundary-value problems

Mathematical Notes ◽

10.1007/bf01105316 ◽

1978 ◽

Vol 24 (2) ◽

pp. 628-630

Author(s):

S. O. Strygina

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

The Finite Difference Method

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Solution of Singularly Perturbed Boundary Value Problems with Singularity Using Variable Mesh Finite Difference Method

Journal of Dynamical Systems and Geometric Theories ◽

10.1080/1726037x.2021.1966945 ◽

2021 ◽

Vol 19 (1) ◽

pp. 113-124

Author(s):

E. Siva Prasad ◽

K. Phaneendra

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Singularly Perturbed ◽

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On the Convergence of the Finite Difference Method for Nonlinear Ordinary Boundary Value Problems

Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations ◽

10.1007/978-3-0348-6283-7_1 ◽

1979 ◽

pp. 9-19 ◽

Author(s):

Wolf-Jürgen Beyn

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

The Finite Difference Method

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Effective finite-difference method for elastoplastic boundary value problems

10.1063/5.0057047 ◽

2021 ◽

Author(s):

Abduvali Khaldjigitov ◽

Umidjon Djumayozov ◽

Sherzod Ibodullayev

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Elastoplastic Boundary

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A finite difference method for a class Of singular two point boundary value problems arising in physiology

International Journal of Computer Mathematics ◽

10.1080/00207169708804603 ◽

1997 ◽

Vol 65 (1-2) ◽

pp. 131-140 ◽

Author(s):

R.K. Pandey

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

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A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110762 ◽

2021 ◽

pp. 110762

Author(s):

Yiming Ren ◽

Hongsong Feng ◽

Shan Zhao

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Irregular Domains ◽

Elliptic Boundary Value ◽

High Order Finite Difference

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