A method of computer assisted proof for nonlinear two-point boundary value problems using higher order finite elements

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.2.74 ◽

2011 ◽

Vol 2 (1) ◽

pp. 74-89

Author(s):

Akitoshi Takayasu ◽

Shin'ichi Oishi

Keyword(s):

Finite Elements ◽

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Computer Assisted ◽

Point Boundary ◽

Computer Assisted Proof ◽

Higher Order Finite Elements

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Multiple fixed-sign solutions for a system of higher order three-point boundary-value problems with deviating arguments

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.04.023 ◽

2008 ◽

Vol 55 (3) ◽

pp. 516-534 ◽

Author(s):

Patricia J.Y. Wong

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Point Boundary ◽

Deviating Arguments ◽

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Solutions of Sturm-Liouville type multi-point boundary value problems for higher-order differential equations

Journal of Applied Mathematics and Computing ◽

10.1007/bf02831966 ◽

2007 ◽

Vol 23 (1-2) ◽

pp. 167-182 ◽

Author(s):

Yuji Liu

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Point Boundary ◽

Liouville Type ◽

Sturm Liouville ◽

Higher Order Differential Equations

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A Higher Order Accurate Numerical Method for Singularly Perturbed Two Point Boundary Value Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-016-0279-9 ◽

2016 ◽

Vol 25 (2) ◽

pp. 267-285 ◽

Author(s):

Aditya Kaushik ◽

Vijayant Kumar ◽

Anil K. Vashishth

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Higher Order ◽

Singularly Perturbed ◽

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Nontrivial solutions for higher order multi-point boundary value problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2007.04.052 ◽

2008 ◽

Vol 56 (4) ◽

pp. 861-873 ◽

Author(s):

Xinguang Zhang ◽

Lishan Liu

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

Point Boundary ◽

Nontrivial Solutions

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Solution of two point boundary value problems using orthogonal collocation on finite elements

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.049 ◽

2005 ◽

Vol 171 (1) ◽

pp. 358-370 ◽

Author(s):

Shelly Arora ◽

S.S. Dhaliwal ◽

V.K. Kukreja

Keyword(s):

Finite Elements ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Orthogonal Collocation

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An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.04.074 ◽

2018 ◽

Vol 336 ◽

pp. 76-93 ◽

Author(s):

S. Kheybari ◽

M.T. Darvishi

Keyword(s):

Boundary Value Problems ◽

Analytical Solutions ◽

Boundary Value ◽

Higher Order ◽

Efficient Technique ◽

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Positive solutions of four-point boundary value problems for higher-order p-Laplacian operator

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.07.017 ◽

2007 ◽

Vol 330 (2) ◽

pp. 836-851 ◽

Author(s):

Hua Su ◽

Baohe Wang ◽

Zhongli Wei ◽

Xiaoyan Zhang

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Higher Order ◽

Laplacian Operator ◽

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Existence of positive solutions for a class of higher-order m-point boundary value problems

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2010.1.74 ◽

2010 ◽

pp. 1-15 ◽

Author(s):

Rodica Luca

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Higher Order ◽

Point Boundary ◽

Existence Of Positive Solutions

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Approximate Solution of Higher Order Two Point Boundary Value Problems Using Uniform Haar Wavelet Collocation Method

Mathematical Modelling, Applied Analysis and Computation - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-981-13-9608-3_14 ◽

2019 ◽

pp. 209-220

Author(s):

Akmal Raza ◽

Arshad Khan

Keyword(s):

Approximate Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Haar Wavelet ◽

Higher Order ◽

Point Boundary ◽

Wavelet Collocation Method

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Eigenvalue of higher-order semipositone multi-point boundary value problems with derivatives

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.12.031 ◽

2008 ◽

Vol 201 (1-2) ◽

pp. 361-370 ◽

Author(s):

Xinguang Zhang

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Higher Order ◽

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