Results 11 to 20 of about 87,914,593 (210)
Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance [PDF]
Abstract and Applied Analysis, 2013 The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and
Hanze Liu
doaj +2 more sources
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita +5 more
core +4 more sources
Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Brunner, Hermann, Yang, Z.W.
core +4 more sources
Wave Effects of the Fractional Shallow Water Equation and the Fractional Optical Fiber Equation
Frontiers in Applied Mathematics and Statistics, 2022 The non-linear space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the non-linear space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation showed the motion of waves in the shallow water equation and the optical fiber equation ...
Sirasrete Phoosree, Weerachai Thadee
doaj +1 more source
Portopulmonary hypertension practice patterns after liver transplantation
Liver Transplantation, EarlyView., 2022 Abstract Portopulmonary hypertension (POPH) is a type of pulmonary arterial hypertension occurring exclusively in those with portal hypertensive liver disease. Liver transplantation (LT) can significantly improve outcomes. Current guidelines counsel against immediate adjustments to targeted therapy after LT and suggest routine echocardiography as ...
Arun Jose +3 more
wiley +1 more source
Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +3 more
core +1 more source
Triviality of the 2D stochastic Allen-Cahn equation [PDF]
, 2012 We consider the stochastic Allen-Cahn equation driven by mollified space-time white noise. We show that, as the mollifier is removed, the solutions converge weakly to 0, independently of the initial condition.
H. Weber +8 more
core +1 more source
Effective Method for Solving Different Types of Nonlinear Fractional Burgers’ Equations
Mathematics, 2020 In this study, a relatively new method to solve partial differential equations (PDEs) called the fractional reduced differential transform method (FRDTM) is used. The implementation of the method is based on an iterative scheme in series form.
Safyan Mukhtar +3 more
doaj +1 more source
Alexandria Engineering Journal, 2021 The purpose of this article is to extend the fractional third order dispersive PDE under singular and non-singular fractional operators via the notion of fuzziness.
Shabir Ahmad +3 more
doaj +1 more source
Solving Fractional Partial Differential Equations with Corrected Fourier Series Method
Abstract and Applied Analysis, 2014 The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier ...
Nor Hafizah Zainal, Adem Kılıçman
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