A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND

DOI10.1017/S1446181108000126zbMath1154.65100MaRDI QIDQ3542098

Abolfazl Tari, Sedaghat Shahmorad

Publication date: 28 November 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

error estimatesorthogonal polynomialsnumerical examplesexpansion methodtwo-dimensional linear Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (20)

Numerical solutions of 2D Fredholm integral equation of first kind by discretization technique ⋮ Padé-type approximation method for two dimensional Fredholm integral equations of the second kind ⋮ A spectral iterative method for solving nonlinear singular Volterra integral equations of Abel type ⋮ Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems ⋮ A novel numerical method of two-dimensional Fredholm integral equations of the second kind ⋮ Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions ⋮ Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations ⋮ Two-dimensional wavelets for numerical solution of integral equations ⋮ 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 novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type ⋮ A meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains ⋮ A matrix formulation to the wave equation with non-local boundary condition ⋮ Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions ⋮ A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method ⋮ Taylor matrix method for solving linear two-dimensional Fredholm integral equations with piecewise intervals ⋮ On the numerical treatment and analysis of two-dimensional Fredholm integral equations using quasi-interpolant ⋮ LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations ⋮ Chebyshev spectral projection methods for two-dimensional Fredholm integral equations of second kind ⋮ Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method

Cites Work

• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Computational Methods for Integral Equations
• The Numerical Solution of Integral Equations of the Second Kind
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