Results 151 to 160 of about 36,394 (307)

Solving nonlinear elliptic partial differential equations in 2D using oscillatory radial basis functions collocation method

Partial Differential Equations in Applied Mathematics
Oscillatory radial basis functions collocation method (ORBF-CM) has been proven to be an effective meshless numerical method for solving various linear elliptic partial differential equations (PDEs). In general, solving nonlinear PDEs is a daunting task.
T. Dangal, A.R. Lamichhane, B. Khatri Ghimire   +2 more
doaj   +1 more source

Euler-Lagrange prolongations of Maxwell PDEs

, 2020
. This paper describes the least squares approximations of the solutions of Maxwell PDEs via their Euler-Lagrange prolongations. We analyze the problem of best approximation point, i.e., point which achieves the minimum distance between a fixed point and
Armando Ciancio, Constantin Udrişte
core  

SDE Based Regression for Linear Random PDEs

, 2017
A simulation based method for the numerical solution of PDEs with random coefficients is presented. By the Feynman--Kac formula, the solution can be represented as conditional expectation of a functional of a corresponding stochastic differential ...
Bayer, Christian, Anker, Felix, Schoenmakers, John G. M., Marcel Ladkau, John Schoenmakers, Johannes Neumann, Martin Eigel, Felix Anker, Christian Bayer, Neumann, Johannes, Eigel, Martin, Ladkau, Marcel   +11 more
core   +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

Porous Deep Eutectic Solvents–Unfulfilled Dream or the Next Breakthrough in Scientific Innovation?

Advanced Science
Porous deep eutectic solvents (PDES) are capturing the imagination of scientists, promising a revolutionary leap in material science. These innovative materials, blending the versatility of deep eutectic solvents (DES) with the intricate architectures of
Marcin Wysokowski, Patrycja Makoś‐Chełstowska, Alina Brzęczek‐Szafran, Aleksandra Sikora, Adam Gorczyński, Teofil Jesionowski   +5 more
doaj   +1 more source

Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients

, 2011
This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with ...
Mikhailov, SE, O. Chkadua, S. E. Mikhailov, Natroshvili, D, D. Natroshvili   +4 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

On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source