Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Efficient Jacobi-Gauss Collocation Method for Solving Initial Value Problems of Bratu Type

No Thumbnail Available

Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

Pleiades Publishing INC

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

In this paper, we propose the shifted Jacobi-Gauss collocation spectral method for solving initial value problems of Bratu type, which is widely applicable in fuel ignition of the combustion theory and heat transfer. The spatial approximation is based on shifted Jacobi polynomials J(n)((alpha, beta))(x) with alpha, beta is an element of (-1, infinity), x is an element of [0, 1] and n the polynomial degree. The shifted Jacobi-Gauss points are used as collocation nodes. Illustrative examples have been discussed to demonstrate the validity and applicability of the proposed technique. Comparing the numerical results of the proposed method with some well-known results show that the method is efficient and gives excellent numerical results.

Description

Keywords

Bratu-Type Equations, Second-Order Initial Value Problems, Collocation Method, Jacobi-Gauss Quadrature, Shifted Jacobi Polynomials

Turkish CoHE Thesis Center URL

Fields of Science

Citation

WoS Q

Scopus Q

Source

Computational Mathematics and Mathematical Physics

Volume

53

Issue

9

Start Page

1292

End Page

1302