Results 251 to 260 of about 13,322,968 (309)

A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation

, 2020
This paper introduces a high-order numerical procedure to solve the two-dimensional distributed-order Riesz space-fractional diffusion equation. In the proposed technique, first, a second-order numerical integration rule is employed to estimate the ...
M. Abbaszadeh, M. Dehghan
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When Do Ordered Prior Distributions Induce Ordered Posterior Distributions?

SSRN Electronic Journal, 2007
It has been shown that if two probability distributions satisfy the monotone likelihood ratio property (MLRP), and are independently updated using common public information and traditional Bayesian updating, then the resulting two posterior distributions will also satisfy the MLRP.
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ORDERING CONDITIONAL DISTRIBUTIONS OF GENERALIZED ORDER STATISTICS

Probability in the Engineering and Informational Sciences, 2007
The concept of generalized order statistics was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this article is to establish the usual stochastic and the likelihood ratio orderings of conditional distributions of generalized order statistics from one sample or two samples, strengthening and ...
Taizhong Hu, Wei Jin, Baha-Eldin Khaledi
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Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation

Journal of Computational and Applied Mathematics, 2020
The fractional PDEs based upon the distributed-order fractional derivative have several applications in physics. The two-dimensional time-space distributed-order weakly singular integro-partial differential model is investigated by a combination of ...
M. Abbaszadeh, M. Dehghan, Yong Zhou
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An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile-immobile equation in two dimensions

Computers and Mathematics with Applications, 2020
In this paper, we shall present the alternating direction implicit (ADI) Galerkin finite element method (FEM) for solving the distributed-order time-fractional mobile–immobile equation in two dimensions.
W. Qiu, Da Xu, Haifan Chen, Jing Guo
semanticscholar   +1 more source

Galerkin–Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation

International Journal of Computational Mathematics, 2020
In this paper, we consider the Galerkin–Legendre spectral method for solving the two-dimensional distributed-order time fractional fourth-order partial differential equation.
Mingfa Fei, Chengming Huang
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Numerical investigation of distributed‐order fractional optimal control problems via Bernstein wavelets

Optimal control applications & methods, 2020
The aim of this article is to investigate an efficient computational method for solving distributed‐order fractional optimal control problems. In the proposed method, a new Riemann‐Liouville fractional integral operator for the Bernstein wavelet is given.
P. Rahimkhani, Y. Ordokhani
semanticscholar   +1 more source

Pareto ordering of distributions

Journal of Mathematical Economics, 1978
Abstract In this paper, the state of an economy is described by a production plan and a distribution on the product space of agents' characteristics and the commodity space. An ordering on the set of states will be introduced and after a study of the structure of this ordering it will be shown that the close relationship between price equilibria and ...
Reif, Nicolaus, Wiesmeth, Hans
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A novel Legendre operational matrix for distributed order fractional differential equations

Applied Mathematics and Computation, 2019
In this paper, for the first time, the shifted Legendre operational matrix of distributed order fractional derivative has been derived. Also, this new operational matrix is used together with tau method for approximation of solutions of linear ...
M. Pourbabaee, A. Saadatmandi
semanticscholar   +1 more source

Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems

Computational and Applied Mathematics, 2022
Tao Guo, O. Nikan, Z. Avazzadeh, W. Qiu
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