Hypergeometric Series Solution to a Class of Second-Order Boundary Value Problems via Laplace Transform with Applications to Nanofluids

作     者：Abdelhalim Ebaid Abdul-Majid Wazwaz Elham Alali Basem S.Masaedeh 

作者机构：Department of Mathematics Faculty of Science University of Tabuk P.O. Box 741 Tabuk 71491 Saudi Arabia Department of Mathematics and Computer Science Saint Xavier University Chicago IL 60655 USA 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2017年第67卷第3期

页      面：231-234页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：ordinary differential equation hypergeometric series boundary value problem exact solution Laplace transform nanofluid 

摘      要：Very recently, it was observed that the temperature of nanofluids is finally governed by second-order ordinary differential equations with variable coefficients of exponential orders. Such coefficients were then transformed to polynomials type by using new independent variables. In this paper, a class of second-order ordinary differential equations with variable coefficients of polynomials type has been solved analytically. The analytical solution is expressed in terms of a hypergeometric function with generalized parameters. Moreover, applications of the present results have been applied on some selected nanofluids problems in the literature. The exact solutions in the literature were derived as special cases of our generalized analytical solution.