Results 21 to 30 of about 55,209 (306)
Linearly implicit methods for Allen-Cahn equation
It is well known that the Allen-Cahn equation satisfies a nonlinear stability property, i.e., the free-energy functional decreases in time. Linearly implicit integrators have been developed for energy-preserving methods for conservative systems with ...
Uzunca, Murat, Karasözen, Bülent
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Numerical solution of the heat transfer equation using different schemes [PDF]
Two-dimensions finite difference methods were used to solve the parabolic equation. In the article, the solution of the problem was calculated numerically using explicit, semi-explicit and implicit schemes to solve the heat distribution equation ...
Shoev Mardon +3 more
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The fractional telegraph equation is a kind of important evolution equation, which has an important application in signal analysis such as transmission and propagation of electrical signals. However, it is difficult to obtain the corresponding analytical
Lifei Wu, Xiaozhong Yang
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Implicitization of rational parametric equations
The paper adresses the implicitization problem for rational parametric equations and presents algorithms based on the Gröbner basis method. The authors give methods: to compute a basis of the implicit ideal for a set of rational parametric equations; to reparametrize a set of parametric equations so that the parameters of the new parametric equations ...
Xiao-Shan Gao, Shang-Ching Chou
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Implicit Equations Involving the p-Laplace Operator [PDF]
AbstractIn this work we study the existence of solutions$$u \in W^{1,p}_0(\Omega )$$u∈W01,p(Ω)to the implicit elliptic problem$$ f(x, u, \nabla u, \Delta _p u)= 0$$f(x,u,∇u,Δpu)=0in$$ \Omega $$Ω, where$$ \Omega $$Ωis a bounded domain in$$ {\mathbb {R}}^N $$RN,$$ N \ge 2 $$N≥2, with smooth boundary$$ \partial \Omega $$∂Ω,$$ 1< p< \infty $$1<p ...
Greta Marino, Andrea Paratore
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Implicit Partial Differential Equations [PDF]
Progress in Nonlinear Differential Equations and their Applications ...
B. DACOROGNA, MARCELLINI, PAOLO
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From implicit to recursive equations [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Discontinuous Implicit Evolution Equations
Let \(J\) be an interval of the form \([0,T]\) of the real line. The paper deals with an IVP of the form \[ f(t,u(t), Lu(t))= 0,\tag{\(*\)} \] for a.e. \(t\in J\), \(u(0)= u_0\). Here, \(u\) is a function on \(J\) to an ordered \(B\)-space \(E\), \(L\) is a differential-like operator with values in \(L^p(J,E)\) and \(f\) satisfies some monotonicity ...
Carl, S., Heikkilä, S.
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Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes
A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes.
Abdon Atangana, Dumitru Baleanu
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In this paper, we present a numerical linear algebra analytical study of some schemes for the Bertozzi–Esedoglu–Gillette–Cahn–Hilliard equation. Both 1D and 2D finite difference discretizations in space are proposed with semi-implicit and implicit ...
Yahia Awad +2 more
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