The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 123
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شناسه ملی سند علمی:
JR_IJMAC-7-4_003
تاریخ نمایه سازی: 28 دی 1401
چکیده مقاله:
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.
کلیدواژه ها:
نویسندگان
Atefeh Armand
Dep. Math, Yadegar imam khomeini (rah) shahre Rey, IAU
Zienab Gouyandeh
Dep. Math, Najaf Abad, IAU