𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method

✍ Scribed by Ahmet Yıldırım

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
387 KB
Volume
56
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this study, the homotopy perturbation method proposed by Ji-Huan He is applied to solve both linear and nonlinear boundary value problems for fourth-order integro-differential equations. The analysis is accompanied by numerical examples. The results show that the homotopy perturbation method is of high accuracy, more convenient and efficient for solving integro-differential equations.

📜 SIMILAR VOLUMES

Exact solutions of some coupled nonlinea
Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method
✍ N.H. Sweilam; M.M. Khader 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 696 KB

The purpose of this study is to introduce a modification of the homotopy perturbation method using Laplace transform and Padé approximation to obtain closed form solutions of nonlinear coupled systems of partial differential equations. Two test examples are given; the coupled nonlinear system of Bur

Solutions of integral and integro-differ
Solutions of integral and integro-differential equation systems by using differential transform method
✍ Aytac Arikoglu; Ibrahim Ozkol 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 259 KB

## a b s t r a c t In this study, differential transform method (DTM) is applied to both integro-differential and integral equation systems. The method is further expanded with a formulation to treat Fredholm integrals. If the system considered has a solution in terms of the series expansion of kno

Homotopy perturbation method for numeric
Homotopy perturbation method for numerical solutions of KdV-Burgers' and Lax's seventh-order KdV equations
✍ Ahmet Yildirim; Murat Erşen Berberler 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 320 KB

## Abstract In this article, we applied homotopy perturbation method to obtain the solution of the Korteweg‐de Vries Burgers (for short, KdVB) and Lax's seventh‐order KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this ty

A Hermite collocation method for the app
A Hermite collocation method for the approximate solutions of high-order linear Fredholm integro-differential equations
✍ Nilay Akgönüllü; Niyazi Şahin; Mehmet Sezer 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB

In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed method converts the equation and its conditions to matrix equations, which co