Approximate solutions for higher order linear and nonlinear boundary value problems
type: Item
instance of: scholarly article
title: Approximate solutions for higher order linear and nonlinear boundary value problems
zbMATH Open document ID: 1493.65271
author: Siddra Habib
author: Muhammad Khurshid Azam
author: M. A. Imran
author: Ali Akgül
published in: International Journal of Applied and Computational Mathematics
publication date: 2022-03-15T00:00:00Z
review text: A modification of the homotopy perturbation (HP) technique by coupling it with the Laplace transform (LT), i.e., HPLM is presented to approximate the solutions of boundary value problems (BVPs). HPLM is simple and easy computable to approximate linear and nonlinear BVPs with wide finite domain in comparison with other techniques, producing results that are generally in good agreement for the given range. Numerical solutions show overall the same trends as in the previous numerical investigation of BVPs. The proposed method exploits full advantage of homotopy perturbation method and Laplace transform and does not need to solve recurrence differential equations. Moreover, the HPLM converges to exact solutions with the fewest number of iterations, and it represents reliable modification with good precision
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35G20
zbMATH DE Number: 7489983
zbMATH Keywords: linear and nonlinear differential equations
zbMATH Keywords: He's homotopy method
zbMATH Keywords: integral transforms
zbMATH Keywords: approximate analytical solution
reviewed by: Bülent Karasözen
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: s40819-021-01018-1
OpenAlex ID: W3199854367
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DOI: 10.1007/S40819-021-01018-1
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description: scientific article; zbMATH DE number 7489983