The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm

Syeda Tehmina Ejaz; Dumitru Baleanu; Ghulam Mustafa; Safia Malik; Yu-Ming Chu

doi:10.1063/5.0017884

The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm

AIP Advances ◽

10.1063/5.0017884 ◽

2020 ◽

Vol 10 (9) ◽

pp. 095322

Author(s):

Syeda Tehmina Ejaz ◽

Dumitru Baleanu ◽

Ghulam Mustafa ◽

Safia Malik ◽

Yu-Ming Chu

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Numerical Algorithm ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Subdivision Scheme

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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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Numerical Treatment of Fourth Order Singularly Perturbed Boundary Value Problems

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-540-31852-1_15 ◽

2005 ◽

pp. 141-148

Author(s):

Basem S. Attili

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Numerical Treatment

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Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the tau method

Mathematics of Computation ◽

10.1090/s0025-5718-1984-0744930-9 ◽

1984 ◽

Vol 43 (167) ◽

pp. 189-189 ◽

Cited By ~ 36

Author(s):

P. Onumanyi ◽

E. L. Ortiz

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Tau Method

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Application of adomian decomposition method for singularly perturbed fourth order boundary value problems

10.1063/1.4952089 ◽

2016 ◽

Cited By ~ 3

Author(s):

Sinan Deniz ◽

Necdet Bildik

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Decomposition Method ◽

Boundary Value ◽

Adomian Decomposition Method ◽

Singularly Perturbed ◽

Adomian Decomposition

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Non-polynomial quadratic spline method for solving fourth order singularly perturbed boundary value problems

Journal of King Saud University - Science ◽

10.1016/j.jksus.2017.08.006 ◽

2019 ◽

Vol 31 (4) ◽

pp. 479-484 ◽

Cited By ~ 1

Author(s):

Arshad Khan ◽

Shahna

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Method ◽

Quadratic Spline

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Fourth order singularly perturbed boundary value problems via initial value techniques

Applied Mathematical Sciences ◽

10.12988/ams.2014.312676 ◽

2014 ◽

Vol 8 ◽

pp. 619-632 ◽

Cited By ~ 1

Author(s):

Hradyesh Kumar Mishra ◽

Sonali Saini

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Initial Value

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I. Sala, On the Numerical Solution of Certain Boundary Value Problems and Eingenvalue Problems of the Second and Fourth Order with the Aid of Integral Equations (Acta Polytechnica Scandinavica, Mathematics and Computing Machinery Series, No. 9). 24 S. Helsinki 1963. Preis brosch. Sw. Kr. 10,- .

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19640441031 ◽

1964 ◽

Vol 44 (10-11) ◽

pp. 518-518

Author(s):

J. Uhlig

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Integral Equations ◽

Fourth Order ◽

Boundary Value ◽

Computing Machinery

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The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method

International Journal of Computer Mathematics ◽

10.1080/00207160211928 ◽

2002 ◽

Vol 79 (3) ◽

pp. 345-356 ◽

Cited By ~ 40

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Fourth Order ◽

Decomposition Method ◽

Boundary Value

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Numerical Solution of Singularly Perturbed Two Point Boundary Value Problems by Using Non-Polynomial Exponential Spline Functions

Journal of Mathematics and Informatics ◽

10.22457/jmi.v19a11184 ◽

2020 ◽

Vol 19 ◽

pp. 125-133

Author(s):

Ahmed R. Khlefha

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Spline Functions ◽

Point Boundary ◽

Exponential Spline

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Quintic B-spline method for numerical solution of fourth order singular perturbation boundary value problems

Studia Universitatis Babes-Bolyai Matematica ◽

10.24193/subbmath.2018.1.09 ◽

2018 ◽

Vol 63 (1) ◽

pp. 141-151

Author(s):

Ram Kishun Lodhi ◽

Hradyesh Kumar Mishra

Keyword(s):

Singular Perturbation ◽

Numerical Solution ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Spline Method ◽

B Spline

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