the reaction-diffusion equation with stiff source term: au(1- u). These schemes have the properties that they reduce to high fidelity algorithms in the diffusion- free case namely in which the numerical solutions preserve the properties inherent in the exact solutions for arbitrary time step-size...
L. Paumond, Some remarks on a Hasegawa-Mima-Charney-Obukhov equation, Phys. D 195 (2004), no. 3-4, 379-390.Kaladze T., Rogava J., Tsamalashvili L., Tsiklauri M. First- and second-order accurate implicit difference schemes for the Charney-Obukhov equation. Physics Letters A. 2004, ...
Initial velocity = 20 meters/sec 15 10 5 CHAPTER 1 Time (sec) First-Order Differential Equations and Models The main thrust of this chapter is to find solution formulas for first-order ODEs, discuss some ODE models, introduce the geometry of solution curves, and show the central role of ...
Answer to: Explain the difference between first-order and second-order change, and cite an example you have either been involved with or observed...
Multiple nonnegative solutions for second order impulsive differential equations We study the existence of single and multiple solutions to a second order impulsive equation with fixed moments. Our analysis relies on combining a nonline... RP Agarwal,D O'Regan - 《Applied Mathematics & Computation》...
The second order, metric, theory I = d 2 x N h µν R µν (g) is no longer vacuous, since the metric is now determined through the R(g) = 0 equation, while N obeys D µ ∂ ν N = 0. One immediate difference is that unlike in metric form, where a cosmological ...
列出物理学中三种典型的相变和临界过程答:三种典型的相变和临界过程分别为:一级相变(First-order phase transformation),二级相变(Second-order phase transition),无限相变(infinite-order phase transition)[8](1)一级相变:一级相变涉及到潜热(latent heat)的问题,在一级相变过程中,系统单位体积吸收或放出固定量(...
Synonyms for equation of the first order in Free Thesaurus. Antonyms for equation of the first order. 22 synonyms for equation: equating, match, agreement, balancing, pairing, comparison, parallel, equality, correspondence, likeness, equivalence, equaliz
This paper concerns the existence of solutions for two kinds of systems of first-order equations on time scales. Existence results for these problems are obtained with new notions of solution tube adapted to these systems. We consider the general case wh
The stability and accuracy of factorized two-level additive operator-difference schemes for the first order evolution equation and three-level schemes for a second order equation are established. Keywords: Evolutionary Equation; Fractional Powers of the Operator; Rational Approximation; Differential-Operator...