Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem

Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem

<p/> <p>We consider a singularly perturbed one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. The monotone operator is combined with the piecewise uniform Shishkin-type meshes. We show that the scheme is second-order convergent, in...

Mô tả đầy đủ

Chi tiết về thư mục
Tác giả chính:	Çakır Musa
Định dạng:	Bài viết
Ngôn ngữ:	English
Được phát hành:	SpringerOpen 2010-01-01
Loạt:	Advances in Difference Equations
Truy cập trực tuyến:	http://www.advancesindifferenceequations.com/content/2010/102484

Những quyển sách tương tự

A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
Bằng: Musa Çakır, et al.
Được phát hành: (2010-01-01)

Positive solutions of second order semipositone singular three-point boundary value problems
Bằng: Yingxin Guo
Được phát hành: (2009-01-01)

Three point boundary value problem for singularly perturbed semilinear differential equations
Bằng: Robert Vrabel
Được phát hành: (2009-12-01)

Upper and lower solutions for a second-order three-point singular boundary-value problem
Bằng: Qiumei Zhang, et al.
Được phát hành: (2009-09-01)

Non-polynomial septic spline method for singularly perturbed two point boundary value problems of order three
Bằng: Aynalem Tafere Chekole, et al.
Được phát hành: (2019-12-01)

Parameter uniform numerical method for fourth order singularly perturbed turning point problems exhibiting boundary layers
Bằng: N. Geetha, et al.
Được phát hành: (2018-12-01)

Fitted numerical method for singularly perturbed semilinear three-point boundary value problem
Bằng: M. Gebeyehu, et al.
Được phát hành: (2022-03-01)

Solving Boundary Value Problems for Second Order Singularly Perturbed Delay Differential Equations by ε-Approximate Fixed-Point Method
Bằng: Zbigniew Bartoszewski, et al.
Được phát hành: (2015-06-01)

Boundary value problems for singular second order equations
Bằng: Alessandro Calamai, et al.
Được phát hành: (2018-09-01)

Uniform Approximation to the Solution of a Singularly Perturbed Boundary Value Problem with an Initial Jump
Bằng: Assiya Zhumanazarova, et al.
Được phát hành: (2020-12-01)

Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems
Bằng: Ram Kishun Lodhi, et al.
Được phát hành: (2018-12-01)

Multiplicity of Positive Solutions for a Singular Second-Order Three-Point Boundary Value Problem with a Parameter
Bằng: Jian Liu, et al.
Được phát hành: (2014-01-01)

On three classes of mesh for the solution of a singularly perturbed two-point boundary value problem
Bằng: Abdullah, Aslam
Được phát hành: (2020)

Asymptotic Expansions of Eigenvalues of the First Boundary Problem for Singularly Perturbed Second Order Diﬀerential Equation with Turning Points
Bằng: S. A. Kashchenko
Được phát hành: (2016-02-01)

Solvability of a second-order singular boundary-value problem
Bằng: Petio S. Kelevedjiev
Được phát hành: (2012-06-01)

Nodal solutions for singular second-order boundary-value problems
Bằng: Abdelhamid Benmezai, et al.
Được phát hành: (2014-07-01)

Singular perturbation for nonlinear boundary-value problems
Bằng: Rina Ling
Được phát hành: (1979-01-01)

Asymptotic Expansions of Eigenvalues of Periodic and Antiperiodic Boundary Problems for Singularly Perturbed Second Order Diﬀerential Equation with Turning Points
Bằng: S. A. Kashchenko
Được phát hành: (2016-02-01)

Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method
Bằng: A. Alipanah, et al.
Được phát hành: (2024-05-01)

A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data
Bằng: Nirmali Roy, et al.
Được phát hành: (2023-01-01)

Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System
Bằng: Peiguang Wang, et al.
Được phát hành: (2013-01-01)

On a Singular Second-Order Multipoint Boundary Value Problem at Resonance
Bằng: S. A. Iyase, et al.
Được phát hành: (2017-01-01)

Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems
Bằng: Muslima Kedir Siraj, et al.
Được phát hành: (2019-12-01)

An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
Bằng: P. Padmaja, et al.
Được phát hành: (2020-03-01)

Uniform Hybrid Difference Scheme for Singularly Perturbed Differential-Difference Turning Point Problems Exhibiting Boundary Layers
Bằng: Wondwosen Gebeyaw Melesse, et al.
Được phát hành: (2020-01-01)

Fourth order solutions of singularly perturbed boundary value problems by quarter-sweep iteration
Bằng: Jumat Sulaiman, et al.
Được phát hành: (2013)

Fourth order solutions of singularly perturbed boundary value problems by quarter-sweep iteration
Bằng: Sulaiman, Jumat, et al.
Được phát hành: (2012)

Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities
Bằng: Ye Guoju, et al.
Được phát hành: (2010-01-01)

Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities
Bằng: Guoju Ye, et al.
Được phát hành: (2010-01-01)

Positive solutions for singular three-point boundary-value problems
Bằng: Zengqin Zhao
Được phát hành: (2007-11-01)

Positive solutions for singular three-point boundary-value problems
Bằng: Baoqiang Yan, et al.
Được phát hành: (2008-08-01)

Accelerated Fitted Mesh Scheme for Singularly Perturbed Turning Point Boundary Value Problems
Bằng: Tesfaye Aga Bullo
Được phát hành: (2022-01-01)

Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations
Bằng: Vrabel Robert
Được phát hành: (2011-01-01)

Positive solutions of three-point nonlinear second order boundary value problem
Bằng: Youssef Raffoul
Được phát hành: (2002-01-01)

Graded mesh modified backward finite difference method for two parameters singularly perturbed second-order boundary value problems
Bằng: Fellek Sabir Andisso, et al.
Được phát hành: (2024-05-01)

Singular second-order multipoint dynamic boundary value problems with mixed derivatives
Bằng: Luo Hua, et al.
Được phát hành: (2006-01-01)

Existence and Uniqueness of Positive Solution for a Singular Nonlinear Second-Order m-Point Boundary Value Problem
Bằng: Xuezhe Lv, et al.
Được phát hành: (2010-01-01)

Asymptotics of Eigenvalues of First Boundary Value Problem for Singularly Pertubed Second-order Diﬀerential Equation with Turning Points
Bằng: S. A. Kaschenko
Được phát hành: (2015-10-01)

Fourth order computational spline method for two-parameter singularly perturbed boundary value problem
Bằng: Satyanarayana KAMBAMPATI, et al.
Được phát hành: (2023-12-01)

Quintic non-polynomial spline methods for third order singularly perturbed boundary value problems
Bằng: Yohannis Alemayehu Wakijira, et al.
Được phát hành: (2018-01-01)