A Method for Numerical Solution of Two Point Boundary Value Problems with Mixed Boundary Conditions

OALib ◽

10.4236/oalib.1100565 ◽

2014 ◽

Vol 01 (06) ◽

pp. 1-7

Author(s):

Pramod Kumar Pandey

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Point Boundary

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A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions

IMA Journal of Applied Mathematics ◽

10.1093/imamat/21.1.83 ◽

1978 ◽

Vol 21 (1) ◽

pp. 83-93 ◽

Cited By ~ 52

Author(s):

M. M. CHAWLA

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Fourth Order ◽

Difference Method ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Point Boundary

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Application of TAGE Iterative Methods for the Solution of Nonlinear Two Point Boundary Value Problems with Linear Mixed Boundary Conditions on a Non-Uniform Mesh

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2012.660228 ◽

2012 ◽

Vol 13 (3) ◽

pp. 129-134 ◽

Cited By ~ 2

Author(s):

R. K. Mohanty ◽

Jyoti Talwar ◽

Noopur Khosla

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Iterative Methods ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Uniform Mesh ◽

Point Boundary

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Finite difference methods for a class of two-point boundary value problems with mixed boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(80)90025-x ◽

1980 ◽

Vol 6 (3) ◽

pp. 189-196 ◽

Cited By ~ 3

Author(s):

M.M. Chawla ◽

C.P. Katti

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Finite Difference Methods ◽

Mixed Boundary Conditions ◽

Point Boundary ◽

Difference Methods

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A new method for solving singular fourth-order boundary value problems with mixed boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.02.002 ◽

2011 ◽

Vol 217 (18) ◽

pp. 7385-7390 ◽

Cited By ~ 11

Author(s):

Yulan Wang ◽

Xuejun Cao ◽

Xiaona Li

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Fourth Order ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

New Method

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The existence of positive solutions for some nonlinear boundary value problems with linear mixed boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.09.036 ◽

2005 ◽

Vol 309 (2) ◽

pp. 505-516 ◽

Cited By ~ 28

Author(s):

Baofang Liu ◽

Jihui Zhang

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Nonlinear Boundary Value Problems ◽

Existence Of Positive Solutions ◽

Nonlinear Boundary Value

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Solvability of initial-boundary value problems for bending of thermoelastic plates with mixed boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.02.066 ◽

2005 ◽

Vol 311 (1) ◽

pp. 357-376 ◽

Cited By ~ 5

Author(s):

I. Chudinovich ◽

C. Constanda ◽

J. Colín Venegas

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Thermoelastic Plates ◽

Initial Boundary Value

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On the solvability of boundary value problems for the stationary magnetohydrodynamic equations with inhomogeneous mixed boundary conditions

Differential Equations ◽

10.1134/s0012266107020103 ◽

2007 ◽

Vol 43 (2) ◽

pp. 246-258 ◽

Cited By ~ 10

Author(s):

R. V. Brizitskii ◽

D. A. Tereshko

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Magnetohydrodynamic Equations

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Symmetric spline procedures for boundary value problems with mixed boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(93)90043-b ◽

1993 ◽

Vol 45 (3) ◽

pp. 237-250 ◽

Cited By ~ 3

Author(s):

Sukanta Kumar Bhatta ◽

K. Suryanarayana Sastri

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions

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Tridiagonal fourth order approximations to general two-point nonlinear boundary value problems with mixed boundary conditions

Mathematics of Computation ◽

10.1090/s0025-5718-1976-0408259-6 ◽

1976 ◽

Vol 30 (133) ◽

pp. 92-92 ◽

Cited By ~ 17

Author(s):

Robert S. Stepleman

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Fourth Order ◽

Nonlinear Boundary ◽

Mixed Boundary ◽

Boundary Value ◽

Mixed Boundary Conditions ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Three-Dimensional Boundary Value Problems of Elastothermodiffusion with Mixed Boundary Conditions

Georgian Mathematical Journal ◽

10.1515/gmj.1997.243 ◽

1997 ◽

Vol 4 (3) ◽

pp. 243-258

Author(s):

T. Burchuladze ◽

Yu. Bezhuashvili

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Singular Integrals ◽

Mixed Boundary ◽

Boundary Value ◽

Three Dimensional ◽

Boundary Surface ◽

Mixed Boundary Conditions ◽

Theory Of Elasticity ◽

Classical Solutions

Abstract We investigate the basic boundary value problems of the connected theory of elastothermodiffusion for three-dimensional domains bounded by several closed surfaces when the same boundary conditions are fulfilled on every separate boundary surface, but these conditions differ on different groups of surfaces. Using the results of papers [Kupradze, Gegelia, Basheleishvili, and Burchuladze, Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity, North-Holland Publishing Company, 1979, Russian original, 1976–Mikhlin, Multi-dimensional singular integrals and integral equations, 1962], we prove theorems on the existence and uniqueness of the classical solutions of these problems.

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