Journal ArticleDOI
A piecewise-analytical method for singularly perturbed parabolic problems
TLDR
It is shown that this method provides uniformly convergent solutions with respect to the small perturbation parameter, but, if the time step is sufficiently large, then the roots of the characteristic polynomial that defines the exponential solutions of the homogeneous differential equation may become nearly independent of the timestep and the solution may exhibit large errors.About:
This article is published in Applied Mathematics and Computation.The article was published on 2005-02-01. It has received 17 citations till now. The article focuses on the topics: Method of matched asymptotic expansions & Exponential integrator.read more
Citations
More filters
Journal ArticleDOI
Modified Variational Iteration Algorithm-II: Convergence and Applications to Diffusion Models
TL;DR: An improved algorithm to the variational iteration algorithm-II (VIA-II) for the numerical treatment of diffusion as well as convection-diffusion equations is presented, which yields accurate results, converges rapidly, and offers better robustness in comparison with other methods used in the literature.
Journal ArticleDOI
Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets
Fengying Zhou,Xiaoyong Xu +1 more
TL;DR: A numerical method for solving convection diffusion equations by combining collocation method based upon the second kind Chebyshev wavelets approximation has good efficiency and precision.
Journal ArticleDOI
Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method
Şuayip Yüzbaşı,Niyazi Şahin +1 more
TL;DR: A numerical scheme based on the Bessel collocation method, which reduces the one-dimensional parabolic convection-diffusion model problems to a linear algebraic equation system and the unknown Bessel coefficients can be computed.
Journal ArticleDOI
A Piecewise Grey System Model for Study the Effects of Anthropogenic Activities on Karst Hydrological Processes
TL;DR: Li et al. as discussed by the authors developed a piecewise analysis based on grey system model for study effects of anthropogenic activities on hydrological processes, which indicated that the hydraulic response time of the spring discharge to precipitation from the predevelopment stage to the new equilibrium stage, ranges from less than 1 to up to 4 years.
Journal ArticleDOI
How does the anthropogenic activity affect the spring discharge
TL;DR: Wang et al. as discussed by the authors investigated the effects of anthropogenic activity on spring discharge, using the Xin'an Springs of China as an example, and found that human activity enhances the correlation between the monsoons and the spring discharge.
References
More filters
Journal ArticleDOI
Large-signal analysis of a silicon Read diode oscillator
D.L. Scharfetter,H.K. Gummel +1 more
TL;DR: In this article, the authors presented theoretical calculations of the large-signal admittance and efficiency achievable in a silicon p-n-v-ns Read IMPATT diode.
Book
Robust Computational Techniques for Boundary Layers
TL;DR: In this paper, numerical methods for problems with Boundary Layers are presented. But they do not address the problems with Frictionless Walls and No Slip Boundary Conditions, and they are not suitable for Non-Monotone Methods in two dimensions.
Journal ArticleDOI
Uniform numerical methods for problems with initial and boundary layers
Book
Numerical Solution of Convection-Diffusion Problems
TL;DR: In this paper, the authors presented results from mathematical analysis on different schemes for steady problems. But they did not discuss the effect of finite element methods and Petrov-Galerkin methods on the performance of steady problems and unsteady problems.