محمد ضارب نیا
گروه ریاضی-دانشگاه محقق اردبیلی
[ 1 ] - روش شبه خطی کردن موجک هار برای حل مسائل غیر خطی تراسچ و براتو
در این مقاله یک روش عددی برای حل مسائل غیر خطی تراسچ و براتو ارائه می‌کنیم. در این روش از فر آیند شبه خطی کردن و تابع پایه‌ای موجک هار برای تبدیل مسائل غیر خطی به دستگاه معادلات جبری خطی استفاده خواهیم کرد. چند مثال عددی آورده شده است و نتایج عددی بدست آمده از روش ارائه شده را با نتایج حاصل از روش‌های تحلیلی و عددی موجود در منابع مختلف مقایسه خواهیم کرد. همچنین نتایج بدست آمده را در قالب جداول ...
[ 2 ] - A numerical solution of a Kawahara equation by using Multiquadric radial basis function
In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.
[ 3 ] - Convergence of the sinc method applied to delay Volterra integral equations
In this paper, the numerical solutions of linear and nonlinear Volterra integral equations with nonvanishing delay are considered by two methods. The methods are developed by means of the sinc approximation with the single exponential (SE) and double exponential (DE) transformations. The existence and uniqueness of sinc-collocation solutions for these equations are provided. Thes...
[ 4 ] - An improved collocation method based on deviation of the error for solving BBMB equation
In this paper, we improve b-spline collocation method for Benjamin-Bona-Mahony-Burgers (BBMB) by using defect correction principle. The exact finite difference scheme is used to find defect and the defect correction principle is used to improve collocation method. The method is tested on somemodel problems and the numerical results have been obtained and compared.
[ 5 ] - An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation
In this paper, numerical solution of the Benjamin-Bona-Mahony-Burgers (BBMB) equation is obtained by using the mesh-free method based on the collocation method with radial basis functions (RBFs). Stability analysis of the method is discussed. The method is applied to several examples and accuracy of the method is tested in terms of $L_2$ and $L_infty$ error norms.
[ 6 ] - Numerical solution of variational problems via Haar wavelet quasilinearization technique
In this paper, a numerical solution based on Haar wavelet quasilinearization (HWQ) is used for finding the solution of nonlinear Euler-Lagrange equations which arise from the problems in calculus of variations. Some examples of variational problems are given and outcomes compared with exact solutions to demonstrate the accuracy and efficiency of the method.
[ 7 ] - Numerical integration using spline quasi-interpolants
In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.
[ 8 ] - Convergence analysis of the sinc collocation method for integro-differential equations system
In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate $O(e^{-k sqrt{N}})$ of the method is proved. The analytical results are illustrated with numerical examp...
Co-Authors