Solution of a model describing biological species living together using the variational iteration method

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 const...

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Bibliographic Details
Published in:	Mathematical and computer modelling Vol. 48; no. 5; pp. 685 - 699
Main Authors:	Shakeri, Fatemeh, Dehghan, Mehdi
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 01.09.2008 Elsevier Science
Subjects:	Adomian decomposition method Calculus of variations and optimal control Difference and functional equations, recurrence relations Exact sciences and technology Integro-differential equation Mathematical analysis Mathematical biology Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Pseudospectral Legendre method Sciences and techniques of general use The equilibrium state of two species living together Variational iteration method Variational iteration method Mathematical biology Integro-differential equation The equilibrium state of two species living together Pseudospectral Legendre method Adomian decomposition method Differential equation Decomposition method Optimization method Iteration Difference equation Implementation Non linear equation Lagrange multiplier Mathematical model Integrodifferential equation Computer aided analysis Linearization Mathematical programming Transcendental equation Recurrence relation Functional equation Non linear system Discretization method Exact solution Numerical analysis Scientific computation Pseudospectral method Applied mathematics
ISSN:	0895-7177, 1872-9479
Online Access:	Get full text
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