Variational iteration method for autonomous ordinary differential systems
Applied Mathematics and Computation
Solving the problem of biological species living together by Adomian decomposition method
Applied Mathematics and Computation
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
Applied Numerical Mathematics
Mathematics and Computers in Simulation
Variational iteration method for solving cubic nonlinear Schrödinger equation
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Shock-peakon and shock-compacton solutions for K(p,q) equation by variational iteration method
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Variational iteration method for solving two-point boundary value problems
Journal of Computational and Applied Mathematics
Direct and inverse one-phase Stefan problem solved by the variational iteration method
Computers & Mathematics with Applications
Variational iteration method for solving multispecies Lotka-Volterra equations
Computers & Mathematics with Applications
Variational iteration method for solving integral equations
Computers & Mathematics with Applications
Fourth order integro-differential equations using variational iteration method
Computers & Mathematics with Applications
Application of He's variational iteration method for solving the Cauchy reaction-diffusion problem
Journal of Computational and Applied Mathematics
Parameter determination in a partial differential equation from the overspecified data
Mathematical and Computer Modelling: An International Journal
Improvement of He's variational iteration method for solving systems of differential equations
Computers & Mathematics with Applications
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
Variational iteration method for solving a generalized pantograph equation
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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In this work, a system of two nonlinear integro-differential equations which arises in biology is considered and the well-known variational iteration method is implemented for finding the solution of this system. This method is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. This technique reduces the volume of calculations by not requiring discretization of the variables, linearization or small perturbations and constructs a sequence which converges to the exact solution rapidly. Also a numerical technique based on the pseudospectral Legendre method is developed to solve the model. Several test problems are given and the results are compared with Adomian decomposition method and the variational iteration technique.