Linear Volterra Integral Equations

A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.10.015 ◽

2021 ◽

Author(s):

M.C. De Bonis ◽

C. Laurita ◽

V. Sagaria

Keyword(s):

Tumor Growth ◽

Numerical Method ◽

Integral Equations ◽

Growth Models ◽

Metastatic Tumor ◽

Tumor Growth Models ◽

Infinite Intervals ◽

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics ◽

On the second type linear volterra integral equations with convolution kernel

10.1501/commua1_0000000493 ◽

1992 ◽

pp. 027-033

Author(s):

Mustafa BALCI ◽

Ö. Faruk TEMİZER

Keyword(s):

Integral Equations ◽

Convolution Kernel ◽

Weakly singular linear Volterra integral equations: A Nyström method in weighted spaces of continuous functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.114001 ◽

2021 ◽

pp. 114001

Author(s):

Luisa Fermo ◽

Donatella Occorsio

Keyword(s):

Integral Equations ◽

Continuous Functions ◽

Weighted Spaces ◽

Nyström Method ◽

Nystrom Method ◽

Weakly Singular ◽

Spaces Of Continuous Functions ◽

Single-Term Walsh Series method for systems of linear Volterra integral equations of the second kind

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.11.052 ◽

2014 ◽

Vol 228 ◽

pp. 371-376 ◽

Cited By ~ 7

Author(s):

V. Balakumar ◽

K. Murugesan

Keyword(s):

Integral Equations ◽

Walsh Series ◽

Series Method ◽

Single Term ◽

A Collocation Boundary Value Method for Linear Volterra Integral Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0289-3 ◽

2016 ◽

Vol 71 (1) ◽

pp. 1-20 ◽

Cited By ~ 6

Author(s):

Junjie Ma ◽

Shuhuang Xiang

Keyword(s):

Integral Equations ◽

Boundary Value ◽

Boundary Value Method ◽

A general method for finding the exact solution of linear Volterra integral equations of the second kind

International Journal of the Physical Sciences ◽

10.5897/ijps11.209 ◽

2011 ◽

Vol 6 (30) ◽

Cited By ~ 1

Author(s):

H. R. Navabpour

Keyword(s):

Exact Solution ◽

Integral Equations ◽

Linear Volterra Integral Equations ◽

General Method

On the Maximal Interval of Existence for Solutions to Some Non-Linear Volterra Integral Equations with Convolution Kernel

Bulletin of the London Mathematical Society ◽

10.1112/blms/28.1.59 ◽

1996 ◽

Vol 28 (1) ◽

pp. 59-65 ◽

Cited By ~ 18

Author(s):

P. J. Bushell ◽

W. Okrasinski

Keyword(s):

Integral Equations ◽

Convolution Kernel ◽

Maximal Interval ◽

Non Linear ◽

On the bounded derivatives of the solutions of the linear Volterra integral equations

International Journal of Computer Mathematics ◽

10.1080/00207160701882121 ◽

2009 ◽

Vol 86 (9) ◽

pp. 1512-1541

Author(s):

Ö. Faruk Temizer ◽

İsmet Özdemir

Keyword(s):

Integral Equations ◽

Linear Volterra Integral Equations ◽

Derivatives Of

A quadrature method with variable step for solving linear Volterra integral equations of the second kind

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.10.086 ◽

2007 ◽

Vol 188 (1) ◽

pp. 549-554 ◽

Cited By ~ 5

Author(s):

Jafar Saberi-Nadjafi ◽

Mahdi Heidari

Keyword(s):

Integral Equations ◽

Quadrature Method ◽

Variable Step ◽