Partial Differential Equations and their Solutions 21
Analytic Solutions of Partial Differential Equations
... study partial differential equations (PDEs) and in particular analytic solutions? We are interested in PDEs because most of mathematical physics is described by such equa- ...lytic ...
88
Solutions to Partial Differential Equations by Robert McOwen
... my solutions to selected problems from chapters 1–5 of Partial Differential Equations by Robert ...these solutions are my own. I plan to write more solutions in the ...these ...
95
"On Approximation of the Solutions to Partial Differential Equations in Finance"
... the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of L´ eandre’s approach(L´ eandre (2006,2008)) and the Bismut ...
44
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... or/and partial di↵erential equations or their ...and partial di↵erential equations that help in gaining an understanding of the fundamental properties of their ...
65
On Approximation of the Solutions to Partial Differential Equations in Finance
... the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of L´ eandre’s approach(L´ eandre (2006,2008)) and the Bismut ...
44
An Introduction to Numerical Methods for the Solutions of Partial Differential Equations
... of solutions, while applied mathematics empha- sizes the rigorous justification of the methods for appro- ximating ...solutions. Differential equations play an im- portant role in modeling ...
12
Almost periodic solutions of partial differential equations with delay
... general solutions of ARFDEs where the operator acting on delay term is unbounded has been addressed in recent ...approximate solutions have been treated in ...periodic solutions has been considered ...
15
Oscillation of solutions for certain fractional partial differential equations
... 4. Das, S: Functional Fractional Calculus for System Identification and Controls. Springer, New York (2008) 5. Diethelm, K: The Analysis of Fractional Differential Equations. Lecture Notes in Mathematics, vol. 2004. ...
8
Strong solutions of semilinear stochastic partial differential equations
... In particular, under the hypothesis that all the coefficients are suffi- ciently smooth and have bounded derivatives, we consider the equation in the context of power scale generated by a strongly elliptic ...
21
"A Remark on Approximation of the Solutions to Partial Differential Equations in Finance"
... the solutions to the nonlinear PDEs associated with the four step scheme for solving forward backward stochastic differential equations ...for solutions of Cauchy-Dirichlet problem for second order ...
35
Regularity and representation of viscosity solutions of partial differential equations via backward stochastic differential equations
... parabolic partial differential equation with Lipschitz coefficients by using its connection with a forward backward stochastic differential equation (in short FBSDE) and we give a probabilistic ...
21
Partial differential equations
... Another important distinction is between explicit and implicit methods, where the latter methods can solve a particular class of equations (so-called “stiff” equations) where explicit methods have problems ...
11
Partial Differential Equations
... This innocuous-seeming problem is suddenly pathological because it would take an infinite power source to maintain this temperature difference. Why should that be? Look at the corners. You’re trying to maintain a ...
25
PARTIAL DIFFERENTIAL EQUATIONS
... the partial differential equations (PDEs) are the common ...the partial differential equations, their classifications and the classical and weak solutions, ...
164
Existence of integro differential solutions for a class of abstract partial impulsive differential equations
... ential equations, for instance, biological systems, electrical engineering, chemical reac- tions, among others can be modeled by impulsive differential equations, a good survey on impulsive ...
19
Martingale solutions and Markov selections for stochastic partial differential equations
... medium equations and stochastic Navier–Stokes equations in the sense of martingale ...Navier–Stokes equations, ...evolution equations in the absence of ...
40
On closed form solutions of some nonlinear partial differential equations
... The germ of our procedure is contained in the paper by Rubel [7] and the solutions are better left in the more general form. All functions appearing in this paper are supposed to be real analytic on a domain in ...
8
Jacobi Elliptic Function Solutions For Fractional Partial Differential Equations
... Function Solutions For Fractional Partial Differential Equations Qinghua Feng ∗ Abstract—In this paper, we are concerned with seeking exact solutions expressed in the Jacobi elliptic ...
9
On Approximate Solutions of Second Order Linear Partial Differential Equations
... Received August 15, 2012; revised September 15, 2012; accepted September 22, 2012 ABSTRACT In this paper, a Chebyshev polynomial approximation for the solution of second-order partial differential ...
7
Topological soliton solutions of the some nonlinear partial differential equations
... 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave ...the equations and obtain topological soliton solutions The physical ...
16