Results 21 to 30 of about 6,829,605 (274)
A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj +1 more source
Numerical solution for two-dimensional partial differential equations using SM’s method
Open Physics, 2022 In this research paper, the authors aim to establish a novel algorithm in the finite difference method (FDM). The novel idea is proposed in the mesh generation process, the process to generate random grids.
Mastoi Sanaullah +5 more
doaj +1 more source
q-analogue of summability of formal solutions of some linear q-difference-differential equations [PDF]
Opuscula Mathematica, 2015 Let \(q\gt 1\). The paper considers a linear \(q\)-difference-differential equation: it is a \(q\)-difference equation in the time variable \(t\), and a partial differential equation in the space variable \(z\). Under suitable conditions and by using \(q\
Hidetoshi Tahara, Hiroshi Yamazawa
doaj +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem ...
A. Ashyralyev, S. Ibrahim, E. Hincal
doaj +1 more source
Journal of Mathematical Analysis and Applications, 2005 After brief explanation of the basic definitions and notions connected with nonlocal symmetries of DEs the authors present a systematic method to derive the nonlocal symmetries for PDEs with two independent variables and show that KdV \(\frac{\partial u}{\partial t}=u\frac{\partial u}{\partial x}+\frac{\partial ^3 u}{\partial x^3}\) and Burgers \(\frac{
Sahadevan, R. +2 more
openaire +1 more source
Advances in Mathematical Physics, 2021 This article comprehensively and systematically expounds the development trends and basic theory of partial differential methods, analyzes the characteristics of sampling multiscale transformation in detail, and deeply studies the network image denoising
Yang Zhang
doaj +1 more source
Advances in Difference Equations, 2021 This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu +3 more
doaj +1 more source
The solution of Poisson partial differential equations via Double Laplace Transform Method
Partial Differential Equations in Applied Mathematics, 2021 The Poisson’s Partial Differential Equation (PPDEs) is known as the generalization of a famous Laplace’s Equation. The aforementioned differential equation is an elliptic in nature and frequently used in theoretical physics.
Amjad Ali, Abdullah, Anees Ahmad
doaj +1 more source
Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
core +6 more sources
ON THE CONSTRUCTION OF PARTIAL DIFFERENCE SCHEMES II: DISCRETE VARIABLES AND SCHWARZIAN LATTICES
Acta Polytechnica, 2016 In the process of constructing invariant difference schemes which approximate partial differential equations we write down a procedure for discretizing a partial differential equation on an arbitrary lattice.
Decio Levi, Miguel A. Rodriguez
doaj +1 more source