A shifted Legendre method for solving a population model and delay linear Volterra integro-differential equations

被引：8

作者：

Yuzbasi, Suayip ^{[1
]}

机构：

[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2017年 / 10卷 / 07期

关键词：

Population model; delay Volterra integro-differential equations; shifted Legendre polynomials; matrix method; collocation method; HOMOTOPY PERTURBATION METHOD; NUMERICAL-SOLUTION; NONLINEAR-SYSTEMS; TAU METHOD; COLLOCATION; MATRIX;

D O I：

10.1142/S1793524517500917

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we propose a collocation method to obtain the approximate solutions of a population model and the delay linear Volterra integro-differential equations. The method is based on the shifted Legendre polynomials. By using the required matrix operations and collocation points, the delay linear Fredholm integro-differential equation is transform ed info a matrix equation. The matrix equation corresponds to a system of linear algebraic equations. Also, an error estimation method for method and improvement of solutions is presented by using the residual function. Applications population of model and general delay integro-differential equation are given. T he obtained results are compared with the known results.

引用

页数：18

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