Analytical solution to the nonlinear singular boundary value problem arising in biology

被引：12

作者：

Dinmohammadi, Abdollah ^{[1
]}

Razani, Abdolrahman ^{[2
]}

Shivanian, Elyas ^{[2
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran

[2] Imam Khomeini Int Univ, Dept Math, Qazvin 3414916818, Iran

来源：

BOUNDARY VALUE PROBLEMS | 2017年

关键词：

singular boundary value problem; Picard iterative sequence; biology; SIGN CHANGING NONLINEARITIES; ORDINARY DIFFERENTIAL-EQUATIONS; TUMOR-GROWTH; HUMAN HEAD; MATHEMATICAL-MODEL; DIFFUSION-PROBLEMS; UNIQUENESS; EXISTENCE;

D O I：

10.1186/s13661-017-0795-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes an analytical procedure for the nonlinear singular boundary value problem that arises in biology and in the study of some diseases. As a first step, we present a constructive proof of the existence and uniqueness of solution. Then, we apply the Picard iterative sequence by constructing an integral equation whose Green's function is not negative. The convergence of this iterative sequence is then controlled by an embedded parameter so that it tends to the unique solution.

引用

页数：9

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