مرور Iranian Journal of Numerical Analysis and Optimization بر اساس عنوان
در حال نمایش موارد 1  20 از 234

2Dfractional Muntz–Legendre polynomials for solving the fractional partial differential equations
(20200901)We present a numerical method for solving linear and nonlinear fractional partial differential equations (FPDEs) with variable coefficients. The main aim of the proposed method is to introduce an orthogonal basis of ...

Accelerated normal and skewHermitian splitting methods for positive definite linear systems
(20130101)For solving large sparse nonHermitian positive definite linear equations, Bai et al. proposed the Hermitian and skewHermitian splitting methods (HSS). They recently generalized this technique to the normal and skewHermitian ...

An adaptive descent extension of the Polak–Rebière–Polyak conjugate gradient method based on the concept of maximum magnification
(20210301)Recently, a oneparameter extension of the Polak–Rebière–Polyak method has been suggested, having acceptable theoretical features and promising numerical behavior. Here, based on an eigenvalue analysis on the method with ...

An adaptive meshless method of line based on radial basis functions
(20151001)In this paper, an adaptive meshless method of line is applied to distribute the nodes in the spatial domain. In many cases in meshless methods, it is also necessary for the chosen nodes to have certain smoothness properties. ...

An adaptive nonmonotone trust region method for unconstrained optimization problems based on a simple subproblem
(20151001)Using a simple quadratic model in the trust region subproblem, a new adaptive nonmonotone trust region method is proposed for solving unconstrained optimization problems. In our method, based on a slight modification of ...

ADI method of credit spread option pricing based on jumpdiffusion model
(20210301)As the main contribution of this article, we establish an option on a credit spread under a stochastic interest rate. The intense volatilities in financial markets cause interest rates to change greatly; thus, we consider ...

Alternating direction method of multipliers for the extended trust region subproblem
(20170401)The extended trust region subproblem has been the focus of several research recently. Under various assumptions, strong duality and certain SOCP/SDP relaxations have been proposed for several classes of it. Due to its ...

An alternative 2phase method for evaluating of DMUs using DEA
(20130101)Computationally, selection of a proper numerical value for infinitesimal non Archimedean epsilon in DEA models has some difficulties. Although there are several algorithms for selecting the proper nonArchimedean epsilon, ...

Analysing panel flutter in supersonic flow by Hopf bifurcation
(20141101)This paper is devoted to study of a partial differential equation governing panel motion in supersonic flow. This PDE can be transformed to an ODE by means of a Galerkin method. Here by using a criterion which is closely ...

Analysis and optimal control of a fractional MSD model
(20230901)In this research, we aim to analyze a mathematical model of Maize streak virus disease as a problem of fractional optimal control. For dynamical analysis, the boundedness and uniqueness of solutions have been investigated ...

Application of control and optimal treatment for predatorprey model†
(20200401)Mathematical ecology and mathematical epidemiology are major fields in both biology and applied mathematics. In the present paper, a fourdimensional ecoepidemiological model with infection in both prey and preda tor ...

Application of modified hat functions for solving nonlinear quadratic integral equations
(20160901)A numerical method to solve nonlinear quadratic integral equations (QIE) is presented in this work. The method is based upon modification of hat functions (MHFs) and their operational matrices. By using this approach and ...

Application of modified simple equation method to Burgers, Huxley and BurgersHuxley equations
(20151001)In this paper, modified simple equation method has been applied to obtain generalized solutions of Burgers, Huxley equations and combined forms of these equations. The new exact solutions of these equations have been ...

Application of NewtonCotes quadrature rule for nonlinear Hammerstein integral equations
(20210901)In this paper, a numerical method for solving Fredholm and Volterra integral equations of the second kind is presented. The method is based on the use of NewtonCotes quadrature rule and Lagrange interpolation polynomials. ...

Applying the meshless Fragile Points method to solve the twodimensional linear Schrödinger equation on arbitrary domains
(20230301)The meshless Fragile Points method (FPM) is applied to find the numerical solutions of the Schrödinger equation on arbitrary domains. This method is based on Galerkin's weakform formulation, and the generalized finite ...

Approximate Analytical Solution for Quadratic Riccati Differential Equation
(20130701)In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as ...

An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays
(20200901)We apply a new method to solve fractional partial differential equations (FPDEs) with proportional delays. The method is based on expanding the unknown solution of FPDEs with proportional delays by the basis of Bernstein ...

Approximate solution for a system of fractional integrodifferential equations by Müntz Legendre wavelets
(20210301)We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integrodifferential equations. In this method, the system of integrodifferential equations shifts into the systems of the algebraic ...

Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
(20191001)The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an ...

Approximate solutions to the Allen–Cahn equation using rational radial basis functions method
(20230601)We apply the rational radial basis functions (RRBFs) method to solve the Allen–Cahn (A.C) equation, particularly when the equation has a solution with steep front or sharp gradients. We approximate the spatial derivatives ...