Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Amjad Alipanah"'
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-24 (2023)
Abstract In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems of second-order integro-differential equations of the Volterra and Fredholm types. The novelty of the approach is based on using the n
Externí odkaz:
https://doaj.org/article/1e7beed8a8af48258c05ea410f637c03
Publikováno v:
Mathematics Interdisciplinary Research, Vol 6, Iss 4, Pp 275-291 (2021)
In this paper, we will introduce an algorithm for obtaining integrals of the form ∫x0 tm φ(t)dt, m ∈ N ∪ {0}, where φ is the scaling functions of Daubechies wavelet. In order to obtain these integrals in dyadic points for x’s, we have to so
Externí odkaz:
https://doaj.org/article/920cd0457f7d46b38aecf72e50275100
Publikováno v:
پژوهشهای ریاضی, Vol 7, Iss 2, Pp 389-396 (2021)
The natural and practical condition numbers for summation of complex numbers are introduced. These numbers measure the effect of loss of significant digits on the round-off error when computing a sum in floating point arithmetic. The relationship bet
Externí odkaz:
https://doaj.org/article/71213d38dd5d4936abce0206465bee45
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2022 (2022)
In this paper, we focus on a collocation approach based on Daubechies wavelet scaling functions for approximating the solution of Volterra’s model of population growth of a species with a closed system. We present that the integral and derivative t
Externí odkaz:
https://doaj.org/article/d06a52b9ac364ff6b9f1ab532000d50f
Autor:
Mahmoud Lotfi, Amjad Alipanah
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-15 (2019)
Abstract In this paper, we study the Legendre spectral element method for solving the sine-Gordon equation in one dimension. Firstly, we discretize the equation by Legendre spectral element in space and then discretize the time by the second-order le
Externí odkaz:
https://doaj.org/article/2fdb7d73c618430f9dbbed632cc9f19f
Autor:
Mahmoud Lotfi, Amjad Alipanah
Publikováno v:
Results in Applied Mathematics, Vol 7, Iss , Pp 100116- (2020)
In this article, we present a spectral element method for numerical solution of linear Volterra integro-differential equations with boundary conditions. First, we obtain discrete form of the problem using the spectral element method. We use the Legen
Externí odkaz:
https://doaj.org/article/3c76e4b2c09940d685aef99b7359d7af
Publikováno v:
Journal of Statistical Computation and Simulation. 93:837-861
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1604497aa3830139c290b29e2932f0f9
https://doi.org/10.1080/00949655.2022.2122969
https://doi.org/10.1080/00949655.2022.2122969
In our joint work, by introducing Quasi Block-Pulse (QBP) functions, we provide integration and stochastic integration operational matrices based on scaling function of Daubechies wavelet to solve linear and nonlinea rstochastic differential equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed9af5b4be0b3a2ba0245b49aa309373
https://doi.org/10.21203/rs.3.rs-2683606/v1
https://doi.org/10.21203/rs.3.rs-2683606/v1
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:2943-2964
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8be6cb51a2855c058b568467b6849397
https://doi.org/10.1007/s41980-022-00681-4
https://doi.org/10.1007/s41980-022-00681-4
Autor:
Amjad Alipanah, Azad Kasnazani
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation. 23:273-281
In this paper we present callocation method for solving the problems in the calculus of variation (CV) using multiquadratic radial basis functions (MQRBFs). In this method we use the Gauss quadrature rule for approximating the integral in CV problems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a62d601b480944876821d2a9555d5e00
https://doi.org/10.1515/ijnsns-2018-0220
https://doi.org/10.1515/ijnsns-2018-0220