TY - Journal Article
T1 - Single-Term Walsh Series method for systems of linear Volterra integral equations of the second kind
JF - Applied mathematics and computation
VL - 228
SP - 371
EP - 376
A1 - Balakumar, V
A2 - Murugesan, K
CY - NEW YORK
PB - Elsevier Inc
PY - 2014
UR - https://bonnus.ulb.uni-bonn.de/SummonRecord/FETCH-LOGICAL-c360t-5be7ac6036ee379219309808a87ebca3e0f53135ddf9d12d74a5f119260acac63
N2 - This paper generalizes Single-Term Walsh Series method for solving systems of linear Volterra integral equations of the second kind. Using the properties of Walsh functions, this method reduces these types of equations to a linear system of algebraic equations. In addition, this method (i) does not require any operational matrices, (ii) needs less computational effort, (iii) gives both piecewise constant and discrete solution, (iv) yields good agreement with exact solutions. Convergence results and error analysis are discussed. Numerical examples are presented to illustrate the computational efficiency of the method.
KW - Approximate solutions
KW - Mathematics
KW - Mathematics, Applied
KW - Numerical method
KW - Physical Sciences
KW - Science & Technology
KW - Single-Term Walsh Series
KW - System of Volterra integral equations
KW - System of Volterra integral equations
KW - Numerical method
KW - Single-Term Walsh Series
KW - Approximate solutions
KW - NUMERICAL COMPUTATIONAL SOLUTION
ER -