State analysis of singular time-varying bilinear systems using non-recursive Haar wavelet operational approach

Kumari, Khushboo; Mittal, M.

doi:10.1109/icccnt.2017.8204034

Cited by 1 publication

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Haar functions integration can be extended into Haar series with a matrix of size , it is known as integration operational matrix [17]. Where is the block pulse integral operational and is defined The block functions are defined in the interval as solved very easily by MATLAB.…”

Section: Haar Wavelet Operational Matrixmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Fractional Systems using Haar Wavelet

2019

IJITEE

View full text Add to dashboard Cite

Wavelets are relatively new tool and have quite been thriving domain in mathematical research. Numerical solutions of differential and integral equations require development of accurate and fast algorithms based on wavelets. This is more pertinent for those problems having localized solutions, both in position and scale. Haar wavelet offers a promising solution bases due to simple mathematical expressions and multi-resolution properties. In this paper, A Haar wavelet based method to solve partial differential equations (PDE) modeling fractional systems is presented. Operational approach is based on representing various integro-differential mathematical operations in terms of matrices. In this article, firstly introduction of Haar wavelet and different operational matrices used for the analysis of fractional systems are presented. A modified computational technique is explained to solve variety of partial differential equations modeling systems of fractional order. This method achieves the solutions by solving Sylvester equation using MATLAB. Demonstrations are provided with the help of two illustrative examples by suitable comparisons with exact solutions.

show abstract

Section: Haar Wavelet Operational Matrixmentioning

confidence: 99%

“…Podlubny [16] applied Laplace Transform technique for getting numerical solution of FPDE with constant coefficients. Odibat [17] used generalized differential transform technique to obtain numerical solution of FPDE. In this paper, modified numerical method based on operational matrices of Haar wavelet is presented for solving FPDE.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Fractional Systems using Haar Wavelet

2019

IJITEE

View full text Add to dashboard Cite

show abstract

State analysis of singular time-varying bilinear systems using non-recursive Haar wavelet operational approach

Cited by 1 publication

References 14 publications

Analysis of Fractional Systems using Haar Wavelet

Analysis of Fractional Systems using Haar Wavelet

Contact Info

Product

Resources

About