Illposedness and stabilization of linear abel integral equations of first kind

Abel Integral Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0084674 ◽

1991 ◽

pp. 154-181

Author(s):

Rudolf Gorenflo ◽

Sergio Vessella

Keyword(s):

Integral Equations ◽

Abel Integral Equations

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A family of methods for Abel integral equations of the second kind

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(91)90043-j ◽

1991 ◽

Vol 34 (2) ◽

pp. 211-219 ◽

Cited By ~ 19

Author(s):

H. Brunner ◽

M.R. Crisci ◽

E. Russo ◽

A. Vecchio

Keyword(s):

Integral Equations ◽

Abel Integral Equations

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Systems of Generalized Abel Integral Equations.

10.21236/ada050001 ◽

1977 ◽

Cited By ~ 1

Author(s):

M. Lowengrub ◽

J. R. Walton

Keyword(s):

Integral Equations ◽

Abel Integral Equations

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Abel Integral Equations

Numerical Solution of Integral Equations ◽

10.1007/978-1-4899-2593-0_8 ◽

1990 ◽

pp. 373-410 ◽

Cited By ~ 7

Author(s):

R. S. Anderssen ◽

F. R. Hoog

Keyword(s):

Integral Equations ◽

Abel Integral Equations

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Laguerre Polynomials Based Numerical Method to Solve a System of Generalized Abel Integral Equations

Procedia Engineering ◽

10.1016/j.proeng.2012.06.204 ◽

2012 ◽

Vol 38 ◽

pp. 1675-1682

Author(s):

Amit Setia ◽

Rajesh K. Pandey

Keyword(s):

Numerical Method ◽

Integral Equations ◽

Laguerre Polynomials ◽

Abel Integral Equations

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A Spectral Collocation Method for Coupled System of Two Dimensional Abel Integral Equations of the Second Kind

Information Sciences Letters ◽

10.18576/isl/080302 ◽

2019 ◽

Vol 8 (3) ◽

pp. 89-93 ◽

Cited By ~ 1

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Coupled System ◽

Spectral Collocation Method ◽

Two Dimensional ◽

Spectral Collocation ◽

Abel Integral Equations

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On nondegenerate and degenerate nonlinear Abel integral equations of the first kind

Nonlinear Analysis ◽

10.1016/0362-546x(94)90005-1 ◽

1994 ◽

Vol 22 (1) ◽

pp. 63-72 ◽

Cited By ~ 1

Author(s):

Dang Dinh Ang ◽

Rudolf Gorenflo

Keyword(s):

Integral Equations ◽

Abel Integral Equations

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An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.03.085 ◽

2019 ◽

Vol 525 ◽

pp. 1440-1448 ◽

Cited By ~ 7

Author(s):

C.S. Singh ◽

Harendra Singh ◽

Somveer Singh ◽

Devendra Kumar

Keyword(s):

Integral Equations ◽

Computational Method ◽

Abel Integral Equations

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A Generalized Barycentric Rational Interpolation Method for Generalized Abel Integral Equations

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00891-6 ◽

2020 ◽

Vol 6 (5) ◽

Author(s):

H. Azin ◽

F. Mohammadi ◽

D. Baleanu

Keyword(s):

Integral Equations ◽

Interpolation Method ◽

Rational Interpolation ◽

Abel Integral Equations ◽

Barycentric Rational Interpolation

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Exact and Numerical Solution of Abel Integral Equations by Orthonormal Bernoulli Polynomials

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0734-8 ◽

2019 ◽

Vol 5 (6) ◽

Author(s):

Mithilesh Singh ◽

Shivani Singhal ◽

Nidhi Handa

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Bernoulli Polynomials ◽

Abel Integral Equations

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Numerical Solution of Abel Integral Equations of First Kind by Using Fractional Calculus

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2016.4965 ◽

2016 ◽

Vol 13 (5) ◽

pp. 3122-3126

Author(s):

A. S Nagdy ◽

A. B Mohammed

Keyword(s):

Fractional Calculus ◽

Numerical Solution ◽

Integral Equations ◽

Abel Integral Equations

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