Approximate double series solution to certain Fredholm integral equations of the first kind

DOI10.1016/0022-247X(89)90041-3zbMath0683.65113MaRDI QIDQ1825018

Nassar H. S. Haidar

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Taylor seriesPadé approximantFredholm integral equations of the first kindinversion of the Laplace transformnon-degenerate kerneldouble series solution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Fredholm integral equations (45B05)

Related Items (5)

A double series variational method for a class of second kind Fredholm integral equations ⋮ Oscillatory Spherical Traveling-Wave–Type Solutions to the Cardiac BVP ⋮ Recursive pseudo-inversion of the Laplace transform on the real line ⋮ On a finite asymptotic integral transform ⋮ On an existence theory for the double series inverse

Cites Work

• A relation between the solutions of the half-space Dirichlet problems for Helmholtz's equation in R\(^n\) and Laplace's equation in R\(^{n+1}\)
• Use of numerically inverted Laplace transforms in time-dependent transport calculations
• On the Numerical Solution of Fredholm Integral Equations of the First Kind
• Some aspects of Gaussian quadrature formulae for the numerical inversion of the Laplace transform
• What is the Laplace Transform?
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