Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!
TECHNICAL COMMENT Serial solution of parabolic differential partial equations : The method for decomposition non-linear and space-dependent problems ROBERT VICHNEVETSKY by Electronic Inc. Associates ...
’ method of and time. the is the solution solving parabolic , Mathematically problem and leads to serious in- of the differential hyperbolic elliptic equations appropriate partial equation , e.g., ...
In this paper, two novel techniques for bounding the solutions of parametric weakly coupled second‐order semilinear parabolic partial differential equations are developed. The first provides ...
- Sivashinsky partial differential equation over a significantly longer time-domain than in previous works. ...
elliptic and parabolic partial differential equations . The present paper demonstrates how the algorithm can be conveniently arranged for computational purposes, and analyses the problems concerning the use ...
(x, z) is the S-wave velocity of the medium and φ(x, z, t) is the source wavelet, usually loaded onto vy in solving equation (1). 2.2. Gradient and preconditioned operator Partial differential ...
, the existence of four first integrals of motion allows us to partially decouple and reduce them to a set of first-order ordinary differential equations that can be further solved analytically (e.g. Bardeen 1973 ...
the scope of this paper to when the application |$(\tau \mathcal {L} - \alpha _m)^{-1} {\bf u}_0$| can be reduced to the solution of an elliptic-type partial differential equation (PDE) for one of the unknown ...
equations . This development has been driven by several factors. We mention only the need to compute the evolution of the solution over a finite time interval |$(0,T)$| rather than a sequence of spatial ...
the radiative transfer consistently at linear order within the perturbation analysis that follows. We linearize the equations as \begin{eqnarray*} \frac{\ partial \delta \rho }{\ partial t} + \rho _0 \boldsymbol ...
Access the full text.
Sign up today, get unlimited access with DeepDyve Pro!