Armand, A., Gouyandeh, Z. (2017). The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model. International Journal of Mathematical Modelling & Computations, 7(4 (FALL)), 265-276.
Atefeh Armand; Zienab Gouyandeh. "The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model". International Journal of Mathematical Modelling & Computations, 7, 4 (FALL), 2017, 265-276.
Armand, A., Gouyandeh, Z. (2017). 'The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model', International Journal of Mathematical Modelling & Computations, 7(4 (FALL)), pp. 265-276.
Armand, A., Gouyandeh, Z. The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model. International Journal of Mathematical Modelling & Computations, 2017; 7(4 (FALL)): 265-276.
The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model
1Dep. Math, Yadegar imam khomeini (rah) shahre Rey, IAU
2Dep. Math, Najaf Abad, IAU
Abstract
This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using collocation points, we solve this system and obtain the unknown coefficients. To illustrate the ability and reliability of the method some nonlinear integro-differential equations and population models are presented. The results reveal that the method is very effective and simple.
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