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Numerical solution of time-varying delay systems by Chebyshev wavelets. (English) Zbl 1228.65105
Summary: The solution of time-varying delay systems is obtained by using Chebyshev wavelets. The properties of the Chebyshev wavelets consisting of wavelets and Chebyshev polynomials are presented. The method is based upon expanding various time functions in the system as their truncated Chebyshev wavelets. The operational matrix of delay is introduced. The operational matrices of integration and delay are utilized to reduce the solution of time-varying delay systems to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
MSC:
65L03Functional-differential equations (numerical methods)
34K07Theoretical approximation of solutions of functional-differential equations
65T60Wavelets (numerical methods)
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