On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods
SIAM Journal on Numerical Analysis
Applied Mathematics and Computation
Asymptotic expansion for the trapezoidal Nystro¨m method of linear Volterra-Fredholm equations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
Applied Mathematics and Computation
Necessary conditions for the appearance of noise terms in decomposition solutions series
Applied Mathematics and Computation
Analytical approximations and Padé approximants for Volterra's population model
Applied Mathematics and Computation
A reliable modification of Adomian decomposition method
Applied Mathematics and Computation
Applied Mathematics and Computation
A new algorithm for calculating Adomian polynomials for nonlinear operators
Applied Mathematics and Computation
Variational iteration method for solving integral equations
Computers & Mathematics with Applications
International Journal of Computer Mathematics
The convergence of He's variational iteration method for solving integral equations
Computers & Mathematics with Applications
He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
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The main goal of this paper is to demonstrate the use of the modified decomposition method for mixed nonlinear Volterra-Fredholm integral equations. The modified method combined with the noise terms phenomena may provide the exact solution by using two iterations only. Two numerical illustrations are given to show the pertinent features of the technique.