Search Results - Stability and convergence of numerical methods for boundary value problems involving PDEs

On the Convergence of a Spline Method for Singular Two Point Boundary Value Problems Arising in Physiology by Pandey, R. K.

“…The second order spline method developed by Iyengar et al. [11] for the problems $$\eqalign{ x^{-\alpha}(x^\alpha y^\prime)^\prime & = f(x,y),\quad 0…”
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On the Rate of Convergence of the Bergman-Vekua Method for the Numerical Solution of Elliptic Boundary Value Problems by Eisenstat, Stanley C.

“…We consider the Bergman-Vekua method of particular solutions for the numerical solution of elliptic boundary value problems…”
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A new efficient semi-numerical method with a convergence control parameter for Lane–Emden–Fowler boundary value problem by Sahoo, Nirupam, Singh, Randhir

“…We propose a new efficient semi-numerical method for solving the Lane–Emden–Fowler type equations that arise in various scientific applications…”
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Solution Convergence in Exterior Electromagnetic Boundary Value Problems and Its Dependence on the Numerical Methods-a Review by Shafai, Lotfollah, Rezazadeh, Navid

“…In numerical solution of electromagnetic problems, boundary conditions play an essential role to ensure the uniqueness of the solution…”
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Advanced Haar Wavelet Method With Its Convergence to the Bratu’s Type Numerical Boundary Value Problems by Aditya Sharma, Manoj Kumar

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Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem by Cakir, Musa, Amirali, Ilhame, Kudu, Mustafa, Amiraliyev, Gabil M.

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Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems by Basile, M., Messina, E., Themistoclakis, W., Vecchio, A.

“…In a recent paper we proposed a numerical method to solve a non-standard non-linear second order integro-differential boundary value problem…”
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Numerical method of sixth order convergence for solving a fourth order nonlinear boundary value problem by Dang, Quang A, Nguyen, Thi Thu Ha

“…In this paper, we construct an iterative method of sixth order convergence for solving a fourth order nonlinear boundary value problem…”
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A simple numerical method of second and third orders convergence for solving a fully third order nonlinear boundary value problem by Dang, Quang A, Long, Dang Quang

“…In this paper we consider a fully third order nonlinear boundary value problem which is of great interest of many researchers…”
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Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem by Dang, Quang A, Dang, Quang Long

“…In this paper, we consider a fully third-order nonlinear boundary value problem that is of great interest of many researchers…”
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A Novel Numerical Algorithm for Singularly Perturbed Boundary Value Problems and Convergence Analysis Using Modified Haar Wavelet Method by Aditya Sharma, Manoj Kumar

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Convergence of the matrix method of numerical integration of the boundary value problems for linear nonhomogeneous ordinary differential second order equations with variable coefficients by Vladimir N Maklakov

“…The problems of stability and convergence of previously proposed matrix method of numerical integration of boundary value problems with boundary conditions…”
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Convergence, stability analysis, and solvers for approximating sublinear positone and semipositone boundary value problems using finite difference methods by Lewis, Thomas, Morris, Quinn, Zhang, Yi

“…Positone and semipositone boundary value problems are semilinear elliptic partial differential equations (PDEs…”
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(Iq)–Stability and Uniform Convergence of the Solutions of Singularly Perturbed Boundary Value Problems by Vrabel, Robert

“…In this paper, using the notion of (Iq)–stability and the method of a priori estimates, known as the method of lower and upper solutions, the sufficient conditions guaranteeing uniform convergence of solutions to the solution of a reduced…”
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Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection–diffusion problems by Chen, W., Hon, Y.C.

“…This paper concerns a numerical study of convergence properties of the boundary knot method (BKM…”
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Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems by Wang, Yuan-Ming

“…This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems…”
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Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: analysis of convergence by Qiu, Y., Sloan, D.M., Tang, T.

“… Adaptive methods are equally effective in approximating solutions of problems with boundary layers or interior layers…”
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Stability and convergence of boundary value methods for solving ODE by Marzulli, P., Trigiante, D.

“… (Initial Value Problem) by means of suitable BVM (Boundary Value Methods). A discussion of their properties of stability and covergence is presented along with their practical construction…”
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Meshless formulation to two‐dimensional nonlinear problem of generalized Benjamin–Bona–Mahony–Burgers through singular boundary method: Analysis of stability and convergence by Aslefallah, Mohammad, Abbasbandy, Saeid, Shivanian, Elyas

“…–Burgers problem with initial and Dirichlet‐type boundary conditions. The θ‐weighted finite difference method is used to discretize the time derivatives…”
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Convergence of the boundary integral methods in numerical solutions of Fourier problems by Golik, Wojciech L

“…The boundary integral methods (BIMs) are becoming increasingly popular as the alternative methods for numerical solutions of (initial…”
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