A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations

In this research, a Bernoulli wavelet operational matrix of fractional integration is presented. Bernoulli wavelets and their properties are employed for deriving a general procedure for forming this matrix. The application of the proposed operational matrix for solving the fractional delay differen...

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Vydáno v:Numerical algorithms Ročník 74; číslo 1; s. 223 - 245
Hlavní autoři: Rahimkhani, P., Ordokhani, Y., Babolian, E.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.01.2017
Springer Nature B.V
Témata:
Algebra
Algorithms
Calculus
Computer Science
Differential equations
Numeric Computing
Numerical Analysis
Original Paper
Theory of Computation
Upper bounds
Operational matrix
Fractional delay differential equations
Bernoulli wavelet
Numerical solution
Caputo derivative
ISSN:1017-1398, 1572-9265
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Shrnutí:In this research, a Bernoulli wavelet operational matrix of fractional integration is presented. Bernoulli wavelets and their properties are employed for deriving a general procedure for forming this matrix. The application of the proposed operational matrix for solving the fractional delay differential equations is explained. Also, upper bound for the error of operational matrix of the fractional integration is given. This operational matrix is utilized to transform the problem to a set of algebraic equations with unknown Bernoulli wavelet coefficients. Several numerical examples are solved to demonstrate the validity and applicability of the presented technique.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-016-0146-3