Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems

Rao, Ganti Prasada; Palanisamy, K. R.; Srinivasan, T.

doi:10.1109/tac.1980.1102277

Cited by 69 publications

(23 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…STWS technique was introduced by Rao et al [13]. Balachandran and Murugesan applied STWS technique to solve first order system of IVPs [14,15].…”

Section: Introductionmentioning

confidence: 99%

Solving Higher Order Linear System of Time-Varying Fuzzy Differential Equations Using Generalized STWS Technique

2016

IJSR

View full text Add to dashboard Cite

“…STWS technique was introduced by Rao et al [13]. Balachandran and Murugesan applied STWS technique to solve first order system of IVPs [14,15].…”

Section: Introductionmentioning

confidence: 99%

Solving Higher Order Linear System of Time-Varying Fuzzy Differential Equations Using Generalized STWS Technique

2016

IJSR

View full text Add to dashboard Cite

“…Rao et al [6] presented a method of extending computation beyond the limit of the initial normal interval in Walsh series analysis of dynamical systems. In the last method, various time functions in the system were first expanded as truncated WF with unknown coefficients.…”

Section: Introductionmentioning

confidence: 99%

“…Due to the nature of the Walsh functions, the solutions obtained were piecewise constant. Rao et al [6] introduced single-term Walsh series (STWS) to remove the inconveniences in WF technique. Furthermore, Balachandran and Murugesan [1,2] applied STWS technique to the analysis of linear and nonlinear singular systems.…”

Section: Introductionmentioning

confidence: 99%

Single-term Walsh series method for solving Volterra's population model

Sepehrian

2014

IJAMR

View full text Add to dashboard Cite

Single-term Walsh series are developed to approximate the solution of the Volterra's population model. Volterra's model is a nonlinear integro-differential equation where the integral term represents the effect of toxin. Properties of Single-term Walsh series are presented and are utilized to reduce the computation of the Volterra's population model to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. A comparison is made with existing results.

show abstract

“…Later, it was found that methods using Walsh series involved some numerical difficulties. To overcome these inconveniences of the Walsh function technique, Rao et al [13] introduced the single-term Walsh series (STWS) technique for analyzing linear and nonlinear singular systems. Balachandran and Muragesan [6] applied the STWS method to obtain the discrete solutions for a linear system with singular and constant coefficients, and demonstrated the effectiveness of the STWS technique by considering different types of systems.…”

Section: Introductionmentioning

confidence: 99%

An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations

Bujurke

Shiralashetti²,

Salimath

2009

Journal of Computational and Applied Mathematics

View full text Add to dashboard Cite

a b s t r a c tIn this paper, a novel single-term Haar wavelet series (STHWS) method is implemented for the solution of the Duffing equation and Painleve's transcendents (PI and PII). The results, in the form of a block pulse and a discrete solution, are presented. Unlike classical numerical schemes, the STHWS method has no restrictions on the coefficients of the Duffing equation as regards its solution. PI and PII are analysed as regards their solutions, up to nearest singularities (poles), using the STHWS. Also, an efficient computational implementation shows the remarkable features of wavelet based techniques.

show abstract

Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems

Cited by 69 publications

References 6 publications

Solving Higher Order Linear System of Time-Varying Fuzzy Differential Equations Using Generalized STWS Technique

Solving Higher Order Linear System of Time-Varying Fuzzy Differential Equations Using Generalized STWS Technique

Single-term Walsh series method for solving Volterra's population model

An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations

Contact Info

Product

Resources

About