Evaluation of Some Special Integrals by Decomposition Method
Authors
Principal,Arsha College,Arsha,Dist-Purulia,West Bengal,India (India)
Article Information
DOI: 10.51583/IJLTEMAS.2026.151000106
Subject Category: Applied Science
Volume/Issue: 15/10 | Page No: 1318-1323
Publication Timeline
Submitted: 2026-10-24
Accepted: 2026-10-29
Published: 2026-11-14
Abstract
With the appliance of decomposition method evaluation of some integrals not expressible in the form of elementary functions nor adequately tabulated is performed in this paper.With the application of Ramanujan’ s integral formula Laplace transform of the integrand of β-function is calculated conforming the known result.In this paper, various examples are taken to evaluate the integral using the method of asymptotic decomposition.
Keywords
Linear equations,convergent series, asymptotic decomposition
This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
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References
1. Adomian G and R.Rach,Analytic Solution of Non-linear Boundary Value Problems in Several Dimensions,Jr. Math. Anal. Appl. 173(1),pp.118-137(1993). [Google Scholar] [Crossref]
2. G.Adomian,Non-linear Stochastic Systems Theory and Applications to Physics,Kluwer(1989). [Google Scholar] [Crossref]
3. G.Adomian, A Review of the Decomposition Method and Some Recent Results for Non-linear Equations,computers Math. Applic. 21(5),pp.101-127(1991). [Google Scholar] [Crossref]
4. B.K.Datta,The Approximate Evaluation of Certain Integrals,ComputersMath.Applic.25(7),pp.47-49(1993). [Google Scholar] [Crossref]
5. Y.Cherruault,Convergence of Adomian’s method,Kybernetes 18(2), pp. 31-39(1989). [Google Scholar] [Crossref]
6. Y.Cherruault, Some New Results for Convergence of Adomian’s Method Applied to Integral Equations,Mathl. Comput. Modelling 16(2),pp.85-93(1992). [Google Scholar] [Crossref]
7. S.Ramanujan, Note Book of S.Ramanujan,Vol. 1,T.I.F.R.,Bombay pp. 54(1957) . [Google Scholar] [Crossref]
8. K.Haldar and B.K.Datta,Integrations by Asymptotic Decomposition,Appl. Math. Lect.Vol. 9,No.52,pp.81-83(1996). [Google Scholar] [Crossref]
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