Numerical solutions of integrodifferential systems by hybrid of general block-pulse functions and the second Chebyshev polynomials

In this paper, integrodifferential systems are converted into a system of algebraic equations by hybrid of general block-pulse functions and the second Chebyshev polynomials. The approximate solutions of integrodifferential systems are derived. The numerical examples illustrate that the algorithm is valid.

[1]  Dong-Her Shih,et al.  Optimal control of deterministic systems described by integrodifferential equations , 1986 .

[2]  Xing Tao Wang Numerical solution of time-varying systems with a stretch by general Legendre wavelets , 2008, Appl. Math. Comput..

[3]  Ganti Prasada Rao,et al.  Analysis and synthesis of dynamic systems containing time delays via block-pulse functions , 1978 .

[4]  P. Sannuti,et al.  Analysis and synthesis of dynamic systems via block-pulse functions , 1977 .

[5]  C. Hwang,et al.  Laguerre series solution of a functional differential equation , 1982 .

[6]  Khosrow Maleknejad,et al.  Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions , 2004, Appl. Math. Comput..

[7]  Ganti Prasada Rao,et al.  Optimal control of linear systems with delays in state and control via Walsh functions , 1983 .

[8]  Donato Trigiante,et al.  Stability Analysis of Linear Multistep Methods via Polynomial Type Variation 1 , 2007 .

[9]  Fan-Chu Kung,et al.  Shifted Legendre series solution and parameter estimation of linear delayed systems , 1985 .

[10]  Ing-Rong Horng,et al.  ANALYSIS, PARAMETER ESTIMATION AND OPTIMAL CONTROL OF TIME-DELAY SYSTEMS VIA CHEBYSHEV SERIES , 1985 .

[11]  Mohsen Razzaghi,et al.  Fourier series approach for the solution of linear two-point boundary value problems with time-varying coefficients , 1990 .

[12]  Xing Tao Wang,et al.  Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials , 2007, Appl. Math. Comput..