Results 81 to 90 of about 2,746 (252)

On the spatial dynamics of the solution to the stochastic heat equation [PDF]

, 2013
We consider the solution of partial derivative(t)u = partial derivative(2)(x) u + partial derivative(x)partial derivative(t) B, (x, t) is an element of R x (0; infinity), subject to the initial condition u (x, 0) = 0; x is an element of R, where B is a ...
Assing, Sigurd, Bichard, James
core   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Spectral Quasi-Linearization Method for Non-Darcy Porous Medium with Convective Boundary Condition

Entropy, 2019
The boundary layer micropolar fluid over a horizontal plate embedded in a non-Darcy porous medium is investigated in this study. This paper is solely focused on contributions oriented towards the application of micropolar fluid flow over a stretching ...
R. A. Alharbey, Hiranmoy Mondal, Ramandeep Behl   +2 more
doaj   +1 more source

Finite-Series Solutions of Hybrid PDE Systems for Conditional Moments of Regime-Switching Extended CEV Processes with Applications in Finance

Mathematics
This paper develops finite-series solutions of a hybrid system of interconnected partial differential equations for computing the conditional moments of regime-switching extended constant elasticity of variance processes with generalized drift and diffusion coefficients.
Parun Juntanon, Sanae Rujivan, Boualem Djehiche   +2 more
openaire   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Applying Two Fractional Methods for Studying a Novel General Formula of Delayed-Neutron-Affected Nuclear Reactor Equations

Fractal and Fractional
In this work, the novel general formula for a time-dependent nuclear reactor system of equations with delayed neutron effect has been formulated using a fractional calculus model.
Mohammed Shqair, Zuhur Alqahtani, Ahmed Hagag   +2 more
doaj   +1 more source

Reducing the PDEs to ODEs through lie vectors using the integrated factors

, 2019
We reduce the PDEs to ODEs through Lie vectors as previously done through two reduction stages. Some of these ODEs have no solution. Some researchers in this step, use the SMM, power series method or Riccati equation method to solve non-solvable ...
Lucky, Steven Segan, Mandy, James Arnold, Wellbirth, Berth Bryan, Fogel, Tony Brian   +3 more
core   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Approximate solutions of general perturbed KdV-Burgers equations

Electronic Journal of Differential Equations, 2014
In this article, we present some approximate analytical solutions to the general perturbed KdV-Burgers equation with nonlinear terms of any order by applying the homotopy analysis method (HAM). While compared with the Adomain decomposition method (ADM)
Baojian Hong, Dianchen Lu
doaj  

Large liquidity expansion of super-hedging costs. [PDF]

We consider a financial market with liquidity cost as in Cetin, Jarrow and Protter [3] where the supply function S"(s; ) depends on a parameter " 0 with S0(s; ) = s corresponding to the perfect liquid situation.
Possamai, Dylan, Touzi, Nizar, Soner, H. Mete   +2 more
core