Single-Term Walsh Series method for systems of linear Volterra integral equations of the second kind

2014 ◽  
Vol 228 ◽  
pp. 371-376 ◽  
Author(s):  
V. Balakumar ◽  
K. Murugesan
Keyword(s):  
Integral Equations ◽  
Volterra Integral Equations ◽  
Walsh Series ◽  
Series Method ◽  
Single Term ◽  
Linear Volterra Integral Equations

scholarly journals Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method

2005 ◽  
Vol 2005 (5) ◽  
pp. 547-554 ◽  
Author(s):  
B. Sepehrian ◽  
M. Razzaghi
Keyword(s):  
Integral Equations ◽  
Walsh Series ◽  
Series Method ◽  
Algebraic Equations ◽  
Hammerstein Integral Equations ◽  
Single Term

Single-term Walsh series are developed to approximate the solutions of nonlinear Volterra-Hammerstein integral equations. Properties of single-term Walsh series are presented and are utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.

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