Approximate analytical solution of singularly perturbed boundary value problems in MAPLE

Essam R. El-Zahar;  ;

doi:10.3934/math.2020150

Approximate analytical solution of singularly perturbed boundary value problems in MAPLE

AIMS Mathematics ◽

10.3934/math.2020150 ◽

2020 ◽

Vol 5 (3) ◽

pp. 2272-2284

Author(s):

Essam R. El-Zahar ◽

◽

Keyword(s):

Analytical Solution ◽

Boundary Value Problems ◽

Approximate Analytical Solution ◽

Boundary Value ◽

Singularly Perturbed

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Approximate analytical solution of fourth order boundary value problems

Numerical Algorithms ◽

10.1007/s11075-005-3569-9 ◽

2005 ◽

Vol 40 (1) ◽

pp. 67-78 ◽

Cited By ~ 13

Author(s):

Waleed Al-Hayani ◽

Luis Casasús

Keyword(s):

Analytical Solution ◽

Boundary Value Problems ◽

Fourth Order ◽

Approximate Analytical Solution ◽

Boundary Value

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The Analytical Solution Of Singularly Perturbed Boundary Value Problems

Journal of Mathematics and Computer Science ◽

10.22436/jmcs.010.01.02 ◽

2014 ◽

Vol 10 (01) ◽

pp. 7-22 ◽

Cited By ~ 2

Author(s):

S.gh. Hosseini ◽

S.m. Hosseini ◽

M. Heydari ◽

M. Amini

Keyword(s):

Analytical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed

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SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30303-5 ◽

1988 ◽

Vol 8 (3) ◽

pp. 239-248 ◽

Cited By ~ 2

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations

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The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems

Boundary Value Problems ◽

10.1186/s13661-020-01322-7 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Xiaojie Lin ◽

Jiang Liu ◽

Can Wang

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Asymptotic Estimates ◽

Third Order ◽

Estimates Of Solutions

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The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Cited By ~ 5

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

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Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1992.7.6.537 ◽

1992 ◽

Vol 7 (6) ◽

Cited By ~ 1

Author(s):

G. I. SHISHKIN

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed

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Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory

Journal of Optimization Theory and Applications ◽

10.1023/a:1022639003366 ◽

1998 ◽

Vol 97 (2) ◽

pp. 455-470 ◽

Cited By ~ 18

Author(s):

S. Natesan ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Chemical Reactor ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value

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Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems

International Journal of Computer Mathematics ◽

10.1080/00207160412331291080 ◽

2005 ◽

Vol 82 (1) ◽

pp. 67-76 ◽

Cited By ~ 8

Author(s):

Mohan K. Kadalbajoo ◽

Vivek K. Aggarwal

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Method ◽

B Spline

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Solving singularly perturbed boundary-value problems by spline in tension

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(88)90297-x ◽

1988 ◽

Vol 24 (3) ◽

pp. 355-363 ◽

Cited By ~ 36

Author(s):

K. Surla ◽

M. Stojanović

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed

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Mixed hp finite element method for singularly perturbed fourth order boundary value problems with two small parameters

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22858 ◽

2021 ◽

Author(s):

Christos Xenophontos ◽

Sebastian Franz ◽

Irene Sykopetritou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Small Parameters ◽

Element Method ◽

Hp Finite Element

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