Journal ArticleDOI
Continuous time collocation methods for Volterra-Fredholm integral equations
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In this article, the authors studied continuous time collocation, time discretization and their global and discrete convergence properties in a mixed Volterra-Fredholm type of integral equations.Abstract:
Integral equations of mixed Volterra-Fredholm type arise in various physical and biological problems. In the present paper we study continuous time collocation, time discretization and their global and discrete convergence properties.read more
Citations
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The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
Salih Yalçinbaş,Mehmet Sezer +1 more
TL;DR: A Taylor method is developed to find the approximate solution of high-order linear Volterra-Fredholm integro-differential equations under the mixed conditions in terms of Taylor polynomials about any point.
Journal ArticleDOI
Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
TL;DR: A Taylor method is developed to find an approximate solution for high-order nonlinear Volterra-Fredholm integro-differential equation.
Journal ArticleDOI
Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
TL;DR: The Kanwal and Liu method for the solution of Fredholm integral equation is applied to certain nonlinear Volterra-Fredholm integral equations.
Journal ArticleDOI
On the numerical solution of nonlinear Volterra-Fredholm integral equations by collocation methods
TL;DR: In this paper, the numerical solution of general integral equations of this type by continuous-time and discrete-time spline collocation methods was studied, focusing on the derivation and analysis of methods of high order of convergence.
Journal ArticleDOI
A reliable treatment for mixed Volterra-Fredholm integral equations
TL;DR: The modified decomposition method combined with the noise terms phenomena may provide the exact solution by using two iterations only for mixed nonlinear Volterra-Fredholm integral equations.
References
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Journal ArticleDOI
Methods of Numerical Integration.
Journal ArticleDOI
The Numerical Solution of Volterra Equations.
Book
The numerical solution of Volterra equations
TL;DR: In this article, the authors introduce the theory of Volterra Equations, and present a number of methods for computing them, e.g., Runge-Kutta-type methods for VOLTERRA Equations with Regular Kernels.
Journal ArticleDOI
Thresholds and travelling waves for the geographical spread of infection.
TL;DR: In this paper, a nonlinear integral equation of mixed Volterra-Fredholm type describing the spatio-temporal development of an epidemic is derived and analyzed, with particular attention paid to the hair-trigger effect and to the travelling wave problem.