A new code for Volterra integral equations based on natural Runge-Kutta methods

2019 ◽  
Vol 143 ◽  
pp. 35-50 ◽  
Author(s):  
A. Abdi ◽  
G. Hojjati ◽  
Z. Jackiewicz ◽  
H. Mahdi
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Runge Kutta

scholarly journals Volterra Runge- Kutta Methods for Solving Nonlinear Volterra Integral Equations

2010 ◽  
Vol 7 (3) ◽  
pp. 1270-1274
Author(s):  
Baghdad Science Journal
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Least Square ◽  
Runge Kutta

In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods. Finally, programs for each method are written in MATLAB language and a comparison between the two types has been made depending on the least square errors.

scholarly journals Runge-Kutta theory for Volterra integral equations of the second kind

1982 ◽  
Vol 39 (159) ◽  
pp. 147-147 ◽  
Author(s):  
H. Brunner ◽  
E. Hairer ◽  
S. P. Nørsett
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Runge Kutta

Highly stable Runge–Kutta methods for Volterra integral equations

2012 ◽  
Vol 62 (8) ◽  
pp. 1002-1013 ◽  
Author(s):  
G. Izzo ◽  
E. Russo ◽  
C. Chiapparelli
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Runge Kutta

Fast Runge–Kutta methods for nonlinear convolution systems of Volterra integral equations

2007 ◽  
Vol 47 (2) ◽  
pp. 259-275 ◽  
Author(s):  
G. Capobianco ◽  
D. Conte ◽  
I. Del Prete ◽  
E. Russo
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Runge Kutta ◽  
Convolution Systems

Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind

1990 ◽  
Vol 10 (1) ◽  
pp. 103-118 ◽  
Author(s):  
A. BELLEN ◽  
Z. JACKIEWICZ ◽  
R. VERMIGLIO ◽  
M. ZENNARO
Keyword(s):  
Stability Analysis ◽  
Integral Equations ◽  
Volterra Integral Equations ◽  
Runge Kutta
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