Composite non-polynomial spline solution of boundary value problems in plate deflection theory

被引：1

作者：

Chaurasia, Anju ^{[1
]}

Srivastava, Prakash Chandra ^{[2
]}

Gupta, Yogesh ^{[3
]}

Bhardwaj, Anuj ^{[2
]}

机构：

[1] Birla Inst Technol, Allahabad, Uttar Pradesh, India

[2] Birla Inst Technol, Dept Math, Allahabad, Uttar Pradesh, India

[3] Jaypee Inst Informat Technol, Dept Math, Noida 201307, UP, India

来源：

INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS | 2019年 / 20卷 / 05期

关键词：

Quintic non-polynomial spline; fourth-order boundary-value problems; numerical approximation; error analysis; NUMERICAL-SOLUTION; EQUATIONS;

D O I：

10.1080/15502287.2019.1650311

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This article presents the numerical solution of a system of linear fourth-order boundary value problems using a different amalgamation of non-polynomial splines. A novel approach was developed using quintic spline function together with exponential and trigonometric functions. Our method is convergent and second-order accurate. Numerical examples show that the method congregates with sufficient accuracy to the exact solutions. Our methodology has the advantages over some existing quintic spline method, direct method, and finite difference method.

引用

页码：372 / 379

页数：8

共 33 条

[11] Fourth Order Impulsive Periodic Boundary Value Problems [J].

Fialho J. ;

Minhós F. .

Differential Equations and Dynamical Systems, 2015, 23 (2) :117-127

[12] Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation [J].

Graef, John R. ;

Kong, Lingju ;

Liu, Xueyan .

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2019, 27 (04) :601-610

[13]

Khalid A., 2018, CEYLON J SCI, V47, P253, DOI DOI 10.4038/cjs.v47i3.7541

[14] EXPONENTIAL SPLINE APPROACH FOR THE SOLUTION OF NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS [J].

Khandelwal, Pooja ;

Khan, Arshad .

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2018, 104 (118) :265-279

[15] Numerical solution of fourth-order problems with separated boundary conditions [J].

Loghmani, G. B. ;

Alavizadeh, S. R. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (02) :571-581

[16] On one two-point BVP for the fourth order linear ordinary differential equation [J].

Mukhigulashvili, Sulkhan ;

Manjikashvili, Mariam .

GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (02) :265-275

[17] High order accuracy nonpolynomial spline solutions for 2μth order two point boundary value problems [J].

Ramadan, M. A. ;

Lashien, I. F. ;

Zahra, W. K. .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (02) :920-927

[18] Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem [J].

Ramadan, M. A. ;

Lashien, I. F. ;

Zahra, W. K. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) :1105-1114

[19] Comment on the paper "A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications" [J].

Rashidinia, J. ;

Jalilian, R. ;

Mohammadi, R. .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) :1572-1580

[20] Convergence of numerical solution of a fourth-order boundary value problem [J].

Rashidinia, J ;

Golbabaee, A .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) :1296-1305

← 1 2 3 4 →