Zobrazeno 1 - 10
of 293
pro vyhledávání: '"shifted Legendre polynomials"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 11, p 630 (2024)
In this paper, we propose a numerical scheme based on the shifted Legendre polynomials for solving the forced Korteweg–de Vries (fKdV) equation including a Caputo fractional operator of a distributed order. To obtain numerical solutions of these ty
Externí odkaz:
https://doaj.org/article/92664de80c7240cd901e6690574a61a5
Autor:
T. Shojaeizadeh, M. Darehmiraki
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss 3, Pp 460-480 (2023)
This study addresses the inverse issue of identifying the space-dependent heat source of the heat equation, which is stated using the optimal con-trol framework. For the numerical solution of this class of problems, an approach based on shifted Legen
Externí odkaz:
https://doaj.org/article/b4b05ed3ca7b42bc85ac226d9a3ed313
Autor:
Hasnaa F. Mohammed, Osama H. Mohammed
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100635- (2024)
This study presents a practical method for solving fractional order delay variational problems. The fractional derivative is given in the Caputo sense. The suggested approach is based on the Laplace transform and the shifted Legendre polynomials by a
Externí odkaz:
https://doaj.org/article/4236c019640f4d8d896ad687e1833e9b
Autor:
A. Z. Amin, M. A. Abdelkawy, Amr Kamel Amin, António M. Lopes, Abdulrahim A. Alluhaybi, I. Hashim
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 20871-20891 (2023)
Integral equations play a crucial role in many scientific and engineering problems, though solving them is often challenging. This paper addresses the solution of multi-dimensional systems of mixed Volterra-Fredholm integral equations (SMVF-IEs) by m
Externí odkaz:
https://doaj.org/article/9afcae85f74541e6b95c3eb8d0f279df
A hybrid technique for approximating the solution of fractional order integro differential equations
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100552- (2023)
In this article, we present an effective approach for solving nonlinear fractional order integro-differential equations. The fractional order derivative will be in the Caputo sense. For this, we propose an approach combined the least squares method t
Externí odkaz:
https://doaj.org/article/7dc0bd7933c14a418f32f4dca30fe00c
Publikováno v:
Open Physics, Vol 21, Iss 1, Pp 014101-64 (2023)
In this work, we propose the Ritz approximation approach with a satisfier function to solve fractal-fractional advection–diffusion–reaction equations. The approach reduces fractal-fractional advection–diffusion–reaction equations to a system
Externí odkaz:
https://doaj.org/article/68619a0fa090441a995efcbe5d284a6b
Publikováno v:
Journal of Taibah University for Science, Vol 16, Iss 1, Pp 608-620 (2022)
In this manuscript, a numerical method based on the conjunction of Paraskevopoulos's algorithm and operational matrices is developed to solve numerically the multi-order linear and nonlinear fractional differential equations. By means of this conjunc
Externí odkaz:
https://doaj.org/article/cb7150fb216e4f7d9b446144002b740b
Akademický článek
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Autor:
Hafsa Naz, Thongchai Dumrongpokaphan, Thanin Sitthiwirattham, Hussam Alrabaiah, Khursheed J. Ansari
Publikováno v:
Results in Applied Mathematics, Vol 18, Iss , Pp 100367- (2023)
In this article, the famous mortgage model of economics is investigated by developing a numerical scheme. The considered model is proposed under the Caputo power law derivative of fractional order. Further, in the considered model by utilizing the ti
Externí odkaz:
https://doaj.org/article/1b5fa30dbeb04b938118c21c7a5e257e
Publikováno v:
Fractal and Fractional, Vol 7, Iss 11, p 780 (2023)
One of the issues in numerical solution analysis is the non-linear distributed-order fractional Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We solve the problem by proposing a numerical solution based on the
Externí odkaz:
https://doaj.org/article/1e1e785bf3b3439682ffb9a235777431