Numerical solution of Volterra integral-algebraic equations using block pulse functions

被引：17

作者：

Balakumar, V. ^{[1
]}

Murugesan, K. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, Tamil Nadu, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 263卷

关键词：

Approximate solutions; Block pulse functions; Numerical method; Integral-algebraic equations; OPERATIONAL MATRIX; SYSTEM; KIND;

D O I：

10.1016/j.amc.2015.04.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a method for computing numerical solutions for linear Volterra integral-algebraic equations using block pulse functions. The problem is transformed to a linear lower triangular system of algebraic equations using the operational matrix associated with block pulse functions. Convergence result and numerical examples are presented to illustrate the efficiency and applicability of the method. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：165 / 170

页数：6

共 19 条

[1] Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions [J].

Babolian, E. ;

Masouri, Z. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 220 (1-2) :51-57

[2] Numerical solution of integral-algebraic equations for multistep methods [J].

Budnikova, O. S. ;

Bulatov, M. V. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (05) :691-701

[3]

Bulatov MV., 2002, Comput. Math. Math. Phys, V42, P315

[4] WALSH SERIES DIRECT METHOD FOR SOLVING VARIATIONAL PROBLEMS [J].

CHEN, CF ;

HSIAO, CH .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1975, 300 (04) :265-280

[5] ON THE CONVERGENCE ANALYSIS OF THE SPLINE COLLOCATION METHOD FOR SYSTEM OF INTEGRAL ALGEBRAIC EQUATIONS OF INDEX-2 [J].

Ghoreishi, F. ;

Hadizadeh, M. ;

Pishbin, S. .

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2012, 9 (04)

[6]

Goffman C., 1965, 1 COURSE FUNCTIONAL

[7] Jacobi spectral solution for integral algebraic equations of index-2 [J].

Hadizadeh, M. ;

Ghoreishi, E. ;

Pishbin, S. .

APPLIED NUMERICAL MATHEMATICS, 2011, 61 (01) :131-148

[8] SOLVING INTEGRAL-EQUATIONS VIA WALSH-FUNCTIONS [J].

HSIAO, CH ;

CHEN, CF .

COMPUTERS & ELECTRICAL ENGINEERING, 1979, 6 (04) :279-292

[9]

Kauthen JP, 2001, MATH COMPUT, V70, P1503, DOI 10.1090/S0025-5718-00-01257-6

[10]

Lepik U., 2004, Dynamic systems and Applications,Antalaya proceedings, P494

← 1 2 →