scholarly journals On a Non-linear Volterra Integral Equation with Singular Kernel

1971 ◽  
Vol 47 (SupplementII) ◽  
pp. 921-924
Author(s):  
Takashi KANAZAWA
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Singular Kernel ◽  
Non Linear

scholarly journals Numerical Solution of a Non-Linear Volterra Integral Equation

2015 ◽  
Vol 44 (1) ◽  
pp. 5-28 ◽  
Author(s):  
K. Maleknejad ◽  
P. Torabi ◽  
S. Sauter
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Volterra Integral Equation ◽  
Non Linear

scholarly journals Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel

2005 ◽  
Vol 77 (91) ◽  
pp. 87-92 ◽  
Author(s):  
Aldona Dutkiewicz ◽  
Stanislaw Szufla
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation ◽  
Weak Solutions ◽  
Singular Kernel ◽  
Weakly Singular Kernel ◽  
Weakly Singular ◽  
Nonempty Compact

We prove that the set of all weak solutions of the Volterra integral equation (1) is nonempty, compact and connected.

scholarly journals PIECEWISE CONSTANT SOLUTION OF NON LINEAR VOLTERRA INTEGRAL EQUATION

2014 ◽  
pp. 95-100
Author(s):  
S. CHARAN TEJA ◽  
MONIKA MITTAL
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Volterra Integral Equation ◽  
Computational Efficiency ◽  
Walsh Functions ◽  
Piecewise Constant ◽  
Block Pulse Functions ◽  
Constant Solution ◽  
Non Linear ◽  
Linear Volterra Integral Equations

In this paper, modification in the computational methods, for solving Non-linear Volterra integral equations, is presented. Here, two piecewise constant methods are considered for obtaining the solutions. The first method is based on Walsh Functions (WF) and the second method is via Block Pulse Functions (BPF). Comparison between the two methods is presented by calculating the errors vis-à-vis exact solution. Computational efficiency of BPF is established by profiling the computations for two examples with MATLAB 7.10 Profiler.

Sign in / Sign up

Export Citation Format

Share Document