Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind

2017 ◽  
Vol 37 (4) ◽  
pp. 4007-4022 ◽  
Author(s):  
Moumita Mandal ◽  
Gnaneshwar Nelakanti
Keyword(s):  
Integral Equations ◽  
Spectral Projection ◽  
Projection Methods ◽  
Volterra Integral Equations ◽  
Superconvergence Results

scholarly journals PROJECTION METHODS FOR INTEGRAL EQUATIONS IN EPIDEMIC

2002 ◽  
Vol 7 (2) ◽  
pp. 229-240 ◽  
Author(s):  
L. Hacia
Keyword(s):  
Mathematical Modeling ◽  
Numerical Methods ◽  
General Theory ◽  
Integral Equations ◽  
Projection Methods ◽  
Volterra Integral Equations ◽  
Temporal Development ◽  
Algebraic Equations ◽  
Numerical Examples ◽  
Spatio Temporal

In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic. The general theory of these equations is given and used in the projection methods. Projection methods lead to a system of algebraic equations or to a system of Volterra integral equations. The considered theory is illustrated by numerical examples.

scholarly journals Legendre spectral projection methods for Urysohn integral equations

2014 ◽  
Vol 263 ◽  
pp. 88-102 ◽  
Author(s):  
Payel Das ◽  
Mitali Madhumita Sahani ◽  
Gnaneshwar Nelakanti
Keyword(s):  
Integral Equations ◽  
Spectral Projection ◽  
Projection Methods ◽  
Urysohn Integral Equations
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