Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel

D.N. Sidorov;  ; A.N. Tynda; I.R. Muftahov;  ;  ;  ;

doi:10.14529/mmp140311

Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel

Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software ◽

10.14529/mmp140311 ◽

2014 ◽

Vol 7 (3) ◽

pp. 107-115 ◽

Cited By ~ 1

Author(s):

D.N. Sidorov ◽

◽

A.N. Tynda ◽

I.R. Muftahov ◽

◽

...

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Piecewise Continuous

Download Full-text

Numerical solution of linear Volterra integral equations of the second kind with sharp gradients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.03.029 ◽

2011 ◽

Vol 235 (14) ◽

pp. 4283-4301 ◽

Cited By ~ 11

Author(s):

Samuel A. Isaacson ◽

Robert M. Kirby

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Linear Volterra Integral Equations

Download Full-text

Numerical solution of special 2D Fredholm-Volterra integral equations using barycentric Gegenbauer interpolation collocation method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1634/1/012099 ◽

2020 ◽

Vol 1634 ◽

pp. 012099

Author(s):

Hongyan Liu ◽

Jin Huang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations

Download Full-text

Numerical solution of nonlinear fuzzy Volterra integral equations of the second kind for changing sign kernels

Soft Computing ◽

10.1007/s00500-018-3668-x ◽

2018 ◽

Vol 23 (21) ◽

pp. 11181-11197 ◽

Cited By ~ 2

Author(s):

F. Saberirad ◽

S. M. Karbassi ◽

M. Heydari

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations

Download Full-text

Boundedness of solutions of difference equations and application to numerical solution of Volterra integral equations of the second kind

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(86)90018-1 ◽

1986 ◽

Vol 115 (2) ◽

pp. 592-605 ◽

Cited By ~ 6

Author(s):

V.L Bakke ◽

Z Jackiewicz

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Difference Equations ◽

Volterra Integral Equations ◽

Boundedness Of Solutions

Download Full-text

Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.05.001 ◽

2008 ◽

Vol 195 (2) ◽

pp. 500-505 ◽

Cited By ~ 13

Author(s):

K. Maleknejad ◽

A. Salimi Shamloo

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Convolution Type ◽

Operational Matrices

Download Full-text

Solvability and Numerical Solutions of Systems of Nonlinear Volterra Integral Equations of the First Kind with Piecewise Continuous Kernels

Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software ◽

10.14529/mmp160111 ◽

2016 ◽

Vol 9 (1) ◽

pp. 130-136 ◽

Cited By ~ 1

Author(s):

I.R. Muftahov ◽

◽

D.N. Sidorov ◽

Keyword(s):

Integral Equations ◽

Numerical Solutions ◽

Volterra Integral Equations ◽

Piecewise Continuous

Download Full-text

Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system

Computational and Applied Mathematics ◽

10.1007/s40314-020-01198-4 ◽

2020 ◽

Vol 39 (3) ◽

Cited By ~ 1

Author(s):

A. R. Yaghoobnia ◽

R. Ezzati

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations

Download Full-text

A Fuzzy Transform Method for Numerical Solution of Fractional Volterra Integral Equations

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0758-0 ◽

2019 ◽

Vol 6 (1) ◽

Author(s):

B. Agheli ◽

M. Adabitabar Firozja

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Fuzzy Transform ◽

Transform Method

Download Full-text

Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: An hp-version collocation approach

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.030 ◽

2021 ◽

Vol 161 ◽

pp. 111-136

Author(s):

Raziyeh Dehbozorgi ◽

Khadijeh Nedaiasl

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular ◽

Collocation Approach

Download Full-text

Numerical Solution Based on Hat Functions for Solving Nonlinear Stochastic Itô Volterra Integral Equations Driven by Fractional Brownian Motion

Mediterranean Journal of Mathematics ◽

10.1007/s00009-016-0820-7 ◽

2016 ◽

Vol 14 (1) ◽

Cited By ~ 8

Author(s):

B. Hashemi ◽

M. Khodabin ◽

K. Maleknejad

Keyword(s):

Brownian Motion ◽

Numerical Solution ◽

Fractional Brownian Motion ◽

Integral Equations ◽

Volterra Integral Equations

Download Full-text