A reliable treatment of Abel's second kind singular integral equations

Majid Khan; Muhammad Asif Gondal

doi:10.1016/j.aml.2012.01.034

A reliable treatment of Abel's second kind singular integral equations

Majid Khan
, Muhammad Asif Gondal

National University of Computer and Emerging Science

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

The central idea of this paper is to construct a new mechanism for the solution of Abel's type singular integral equations that is to say the two-step Laplace decomposition algorithm. The two-step Laplace decomposition algorithm (TSLDA) is an innovative adjustment in the Laplace decomposition algorithm (LDA) and makes the calculation much simpler. In this piece of writing, we merge the Laplace transform and decomposition method and present a novel move toward solving Abel's singular integral equations.

Original language	English
Pages (from-to)	1666-1670
Number of pages	5
Journal	Applied Mathematics Letters
Volume	25
Issue number	11
DOIs	https://doi.org/10.1016/j.aml.2012.01.034
State	Published - Nov 2012
Externally published	Yes

Keywords

Abel's second kind singular integral equations
Laplace decomposition algorithm
Two-step Laplace decomposition algorithm

Access to Document

10.1016/j.aml.2012.01.034

Cite this

@article{30ccb57160b44713ac2a20df69b9b3be,

title = "A reliable treatment of Abel's second kind singular integral equations",

abstract = "The central idea of this paper is to construct a new mechanism for the solution of Abel's type singular integral equations that is to say the two-step Laplace decomposition algorithm. The two-step Laplace decomposition algorithm (TSLDA) is an innovative adjustment in the Laplace decomposition algorithm (LDA) and makes the calculation much simpler. In this piece of writing, we merge the Laplace transform and decomposition method and present a novel move toward solving Abel's singular integral equations.",

keywords = "Abel's second kind singular integral equations, Laplace decomposition algorithm, Two-step Laplace decomposition algorithm",

author = "Majid Khan and Gondal, \{Muhammad Asif\}",

year = "2012",

month = nov,

doi = "10.1016/j.aml.2012.01.034",

language = "English",

volume = "25",

pages = "1666--1670",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

number = "11",

}

TY - JOUR

T1 - A reliable treatment of Abel's second kind singular integral equations

AU - Khan, Majid

AU - Gondal, Muhammad Asif

PY - 2012/11

Y1 - 2012/11

N2 - The central idea of this paper is to construct a new mechanism for the solution of Abel's type singular integral equations that is to say the two-step Laplace decomposition algorithm. The two-step Laplace decomposition algorithm (TSLDA) is an innovative adjustment in the Laplace decomposition algorithm (LDA) and makes the calculation much simpler. In this piece of writing, we merge the Laplace transform and decomposition method and present a novel move toward solving Abel's singular integral equations.

AB - The central idea of this paper is to construct a new mechanism for the solution of Abel's type singular integral equations that is to say the two-step Laplace decomposition algorithm. The two-step Laplace decomposition algorithm (TSLDA) is an innovative adjustment in the Laplace decomposition algorithm (LDA) and makes the calculation much simpler. In this piece of writing, we merge the Laplace transform and decomposition method and present a novel move toward solving Abel's singular integral equations.

KW - Abel's second kind singular integral equations

KW - Laplace decomposition algorithm

KW - Two-step Laplace decomposition algorithm

UR - https://www.scopus.com/pages/publications/84865618837

U2 - 10.1016/j.aml.2012.01.034

DO - 10.1016/j.aml.2012.01.034

M3 - Article

AN - SCOPUS:84865618837

SN - 0893-9659

VL - 25

SP - 1666

EP - 1670

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 11

ER -

A reliable treatment of Abel's second kind singular integral equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this