Two-dimensional transport equation as Fredholm integral equation

DOI10.1016/j.cnsns.2011.01.027zbMath1257.45002OpenAlexW2031848308MaRDI QIDQ430310

Abdelouahab Kadem, Dumitru Baleanu

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.01.027

zbMATH Keywords

discretizationFredholm integral equationlinear transport equationSumudu transform

Mathematics Subject Classification ID

Laplace transform (44A10) Fredholm integral equations (45B05) First-order hyperbolic equations (35L02)

Related Items (5)

Padé-type approximation method for two dimensional Fredholm integral equations of the second kind ⋮ A triangle algorithm of Padé-type approximant for two-dimensional Fredholm integral equations of the second kind ⋮ Nyström method for Fredholm integral equations of the second kind in two variables on a triangle ⋮ A multidimensional reverse interpolation method and its application in solving the multidimensional Fredholm integral equations ⋮ Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method

Cites Work

• An application of double Laplace transform and double Sumudu transform
• Analytical solutions for the neutron transport using the spectral methods
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Analytical investigations of the Sudumu transform and applications to integral production equations
• The Fokker-Planck operator as an asymptotic limit in anisotropic media
• Chebyshev spectral-\(S_N\) method for the neutron transport equation
• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• Computational Methods for Integral Equations
• $L_P $ and Eigenvalue Error Estimates for the Discrete Ordinates Method for Two-Dimensional Neutron Transport
• Solution of the three‐dimensional transport equation using the spectral methods
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