Efficient algorithms to solve singular integral equations of Abel type

Pandey, R.K.; Singh, O.P.; Singh, V.K.

dc.contributor.author	Pandey, R.K.
dc.contributor.author	Singh, O.P.
dc.contributor.author	Singh, V.K.
dc.date.accessioned	2021-10-04T05:33:41Z
dc.date.available	2021-10-04T05:33:41Z
dc.date.issued	2009-02
dc.identifier.issn	08981221
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1737
dc.description.abstract	In the present paper, we obtain the approximate solution of Abel's integral equation by using the following powerful, efficient but simple methods:. (i) He's homotopy perturbation method (HPM),. (ii) Modified homotopy perturbation method (MHPM),. (iii) Adomian decomposition method (ADM) and. (iv) Modified Adomian decomposition method (MADM). The validity and applicability of these techniques are illustrated through various particular cases which demonstrate their efficiency and simplicity in solving these types of integral equations compared with the other existing methods.	en_US
dc.description.sponsorship	Computers and Mathematics with Applications	en_US
dc.language.iso	en	en_US
dc.relation.ispartofseries	Issue 4;Volume 57
dc.subject	Adomian decomposition method;	en_US
dc.subject	He's homotopy perturbation method;	en_US
dc.subject	Mittag-Leffler function;	en_US
dc.subject	Modified decomposition method;	en_US
dc.subject	Modified homotopy perturbation method;	en_US
dc.subject	Volterra integral equation;	en_US
dc.title	Efficient algorithms to solve singular integral equations of Abel type	en_US
dc.type	Article	en_US