A Cubic Legendre spline collocation method to solve Volterra-Fredholm integro differential equation

2016 ◽  
Author(s):  
B. M. Pandya ◽  
D.C. Joshi
Keyword(s):  
Differential Equation ◽  
Collocation Method ◽  
Spline Collocation ◽  
Spline Collocation Method ◽  
Integro Differential Equation

STABILITY OF THE SPLINE COLLOCATION METHOD FOR SECOND ORDER VOLTERRA INTEGRO‐DIFFERENTIAL EQUATIONS

2004 ◽  
Vol 9 (1) ◽  
pp. 79-90 ◽  
Author(s):  
M. Tarang
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Collocation Method ◽  
Numerical Stability ◽  
Second Order ◽  
Spline Collocation ◽  
Spline Collocation Method ◽  
Integro Differential Equation ◽  
Numerical Tests

Numerical stability of the spline collocation method for the 2nd order Volterra integro‐differential equation is investigated and connection between this theory and corresponding theory for the 1st order Volterra integro‐differential equation is established. Results of several numerical tests are presented. Straipsnyje nagrinejamas antros eiles Volteros integro‐diferencialiniu lygčiu splainu kolokaci‐jos metodo skaitinis stabilumas ir nustatytas ryšys tarp šios teorijos ir atitinkamos pirmos eiles Volterra integro‐diferencialiniu lygčiu teorijos. Pateikti keleto skaitiniu eksperimentu rezultatai.

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