ON THE SOLUTION OF VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND WITH A BULGE FUNCTION BY ADM

被引:0
作者
Haarsa, P. [1 ]
机构
[1] Srinakharinwirot Univ, Dept Math, Bangkok 10110, Thailand
来源
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2021年 / 25卷 / 02期
关键词
Volterra integral equations; bulge; Taylor series; modified decomposition;
D O I
10.17654/DE025020179
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study a bulge function that appears in the linear Volterra integral equation. The Adomian decomposition method is applied and the series expansion is used to replace the bulge function. The computation is performed using Mathematica in the example considered for illustration.
引用
收藏
页码:179 / 188
页数:10
相关论文
共 50 条
[41]   Numerical Solution of Nonlinear Volterra Integral Equations with Nonincreasing Kernel and an Application [J].
Maleknejad, K. ;
Najafi, E. .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (01) :83-96
[42]   Numerical solution of nonlinear volterra integral equations using the idea of quasilinearization [J].
Maleknejad, K. ;
Najafi, E. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :93-100
[43]   Resolution of system of Volterra integral equations of the first kind by derivation technique and modified decomposition methods [J].
Alzhrani, M. A. ;
Bakodah, H. O. ;
Al-Mazmumy, M. .
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2020, 16 (02) :23-38
[45]   High order exponentially fitted methods for Volterra integral equations with periodic solution [J].
Cardone, A. ;
D'Ambrosio, R. ;
Paternoster, B. .
APPLIED NUMERICAL MATHEMATICS, 2017, 114 :18-29
[46]   On a perturbed system of volterra integral equations [J].
Pachpatte, B. G. .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (1-2) :197-212
[47]   SOLUTIONS FOR SINGULAR VOLTERRA INTEGRAL EQUATIONS [J].
Wong, Patricia J. Y. .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,
[48]   On Volterra Integral Equations on Time Scales [J].
Iguer Luis Domini dos Santos .
Mediterranean Journal of Mathematics, 2015, 12 :471-480
[49]   On Volterra Integral Equations on Time Scales [J].
Domini dos Santos, Iguer Luis .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (02) :471-480
[50]   SOLVABILITY AND NUMERICAL SOLUTIONS OF SYSTEMS OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND WITH PIECEWISE CONTINUOUS KERNELS [J].
Muftahov, I. R. ;
Sidorov, D. N. .
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2016, 9 (01) :130-136