Semigroup Solution of Path-Dependent Second-Order Parabolic Partial Differential Equations

The Solution of Second - Order Partial Differential Equations

Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations

The purpose of the paper is to review a variety of recent developments in the theory of positive solutions of general linear elliptic and parabolic equations of second-order on noncompact Riemannian manifolds, and to point out a number of their consequences. 2000 Mathematics Subject Classification. Primary 35J15; Secondary 35B05, 35C15, 35K10.

Analytic Solution of Fuzzy Second Order Differential Equations under H-Derivation

In this paper, the solution of linear second order equations with fuzzy initialvalues are investigated. The analytic general solutions of them using a rstsolution is founded. The parametric form of fuzzy numbers to solve the secondorder equations is applied. The solutions are searched in four cases. Finallythe example is got to illustrate more and the solutions are shown in gures forfour cases.

Quintic B-Spline for the Numerical Solution of Fourth-Order Parabolic Partial Differential Equations

The quintic B-spline collocation method is developed to solve the fourth-order parabolic partial differential equation. This kind of problem arises in the field of transverse vibration of the uniform flexible beam. Stability analysis of the method has also been proven. Two examples have been considered to illustrate the efficiency of the method developed. It has been observed that the numerical...

for parabolic partial differential equations

number of iterationsrequired to meet the convergencecriterion. the converged solutions from the previous step. This significantly reduces the interfacial boundaries, the initial estimates for the interfacial flux is given from scheme. Outside of the first time step where zero initial flux is assumed on all between subdomains are satisfied using a Schwarz Neumann-Neumam iteration method which is...