Results 1 to 10 of about 30 (28)
Stability Problems and Numerical Integration on the Lie Group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Camelia Pop
exaly +2 more sources
Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Camelia Pop
exaly +2 more sources
Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
doaj +1 more source
Regular eigenvalue problem with eigenparameter contained in the equation and the boundary conditions
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 651-659, 1990., 1989 The purpose of this paper is to establish the expansion theorem for a regular right‐definite eigenvalue problem for the Laplace operator in Rn, (n ≥ 2) with an eigenvalue parameter λ contained in the equation and the Robin boundary conditions on two “parts” of a smooth boundary of a simply connected bounded domain.
E. M. E. Zayed, S. F. M. Ibrahim
wiley +1 more source
Image Restoration using a Nonlinear Second-order Parabolic PDE-based Scheme
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 A novel anisotropic diffusion-based image denoising and restoration approach is proposed in this paper. A variational model for image restoration is introduced first, then the corresponding Euler-Lagrange equation being determined.
Barbu Tudor, Moroşanu Costică
doaj +1 more source
Ain Shams Engineering JournalIn this work, we propose a new differential quadrature method (DQM) based on the Unified and Extended Trigonometric B-spline (UETB-spline) functions for the numerical approximation of 3D wave equations.
Ahmed H. Msmali +2 more
doaj +1 more source
A robust collocation method for time fractional PDEs based on mean value theorem and cubic B-splines
Partial Differential Equations in Applied MathematicsThis paper explains and applies a numerical technique utilizing the cubic B-spline functions and the mean value theorem (MVT) to solve a general time fractional partial differential equation (FPDE).
Adel R. Hadhoud +5 more
doaj +1 more source
Ain Shams Engineering JournalA discussion of numerical results for 1D and 2D Hyperbolic Telegraph equations is primary objective of this paper. In this article, Hyperbolic Telegraph equation is addressed using Lagrange Interpolation Polynomial DQM and NUAH B-spline DQM, respectively,
Mamta Kapoor
doaj +1 more source
Strong approximations for stochastic differential equations with boundary conditions
We study the Euler approximation scheme for solutions of stochastic differential equations with boundary conditions in two different examples: (a) the one-dimensional case with linear boundary condition, and (b) the multidimensional case with constant ...
Ferrante, Marco +2 more
core
Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations. [PDF]
SN Partial Differ Equ ApplBeck C, Gonon L, Jentzen A.
europepmc +1 more source