Author
Yadollah Ordokhani
Other affiliations: Mississippi State University, Amirkabir University of Technology
Bio: Yadollah Ordokhani is an academic researcher from Alzahra University. The author has contributed to research in topics: Algebraic equation & Fractional calculus. The author has an hindex of 25, co-authored 129 publications receiving 2045 citations. Previous affiliations of Yadollah Ordokhani include Mississippi State University & Amirkabir University of Technology.
Papers published on a yearly basis
Papers
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TL;DR: The Chebyshev pantograph operational matrix is introduced and the operational matrices of pantograph, derivative and product are utilized to reduce the problem to a set of algebraic equations.
139 citations
TL;DR: In this article, a new numerical method for solving fractional differential equations is presented based upon Bernoulli wavelet approximations, which reduces the initial and boundary value problems to system of algebraic equations.
136 citations
TL;DR: New functions based on the Bernoulli wavelets are defined to obtain the numerical solution of fractional-order pantograph differential equations in a large interval to reduce the problem to a set of algebraic equations.
128 citations
TL;DR: This operational matrix is utilized to transform the problem to a set of algebraic equations with unknown Bernoulli wavelet coefficients, and upper bound for the error of operational matrix of the fractional integration is given.
Abstract: 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
122 citations
TL;DR: The operational matrices of integration and product together with the collocation points are utilized to reduce the solution of the integral equation to the Solution of a system of nonlinear algebraic equations.
109 citations
Cited by
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Journal Article•
28,685 citations
01 Jan 2015
3,828 citations
2,084 citations
01 Jan 2010
TL;DR: Most engineering and scientific phenomena such as the surface of a landscape or the continuously changing temperature at a location are inherently infinite in space or time or both as discussed by the authors, and it is possible to record surface elevation values or the temperature only at some specific locations and times.
Abstract: Most engineering and scientific phenomena, such as the surface of a landscape or the continuously changing temperature at a location are inherently infinite in space or time or both. We cannot measure all the data. Generally it is possible to record surface elevation values or the temperature only at some specific locations and times.
391 citations
Book•
06 May 1998
TL;DR: Orthogonal approximations in Sobolev spaces stability and convergence spectral methods and pseudospectral methods spectral methods for multi-dimensional and high order problems mixed spectral methods combined spectral methods spectral method on the spherical surface as discussed by the authors.
Abstract: Orthogonal approximations in Sobolev spaces stability and convergence spectral methods and pseudospectral methods spectral methods for multi-dimensional and high order problems mixed spectral methods combined spectral methods spectral methods on the spherical surface.
365 citations