Results 61 to 70 of about 87,914,593 (210)

Explicit Methods for Inverse Source Identification in Transient Diffusion via Truncated Eigenfunction Regularization of Temperature Measurements

Heat Transfer, EarlyView.
ABSTRACT This work presents and compares two explicit approaches for estimating space‐ and time‐dependent source terms in parabolic diffusion equations, derived from analytical solutions obtained through the Classical Integral Transform Technique (CITT).
André J. P. de Oliveira, Diego C. Knupp, Luiz A. S. Abreu, Mousa J. Huntul, David A. Pelta, Antônio J. da Silva Neto   +5 more
wiley   +1 more source

Integrable viscous conservation laws [PDF]

, 2015
We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio, Arsie, Alessandro, Lorenzoni, Paolo   +2 more
core   +1 more source

Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation [PDF]

, 2014
We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
core  

Basis for Power Series Solutions to Systems of Linear, Constant Coefficient Partial Differential Equations [PDF]

, 1999
Using the theory of generalized functions and the theory of Fourier transforms in several complex variables, previous authors developed a nonconstructive, integral representation for power series solutions to a given system of linear, constant ...
Pedersen, Paul S.
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

Changing variables in Taylor series with applications to PDEs

, 2020
International audienceHow to compute a Taylor series with respect to a coordinate system, when this series is known with respect to alternative coordinates?
Koutsawa, Yao, Potier-Ferry, Michel, Yang, Jie, Hu, Heng   +3 more
core   +1 more source

Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems [PDF]

, 2011
Advanced numerical solvers and associated simulation tools, such as, for example, numerical algorithms based on novel spectral methods, efficient time-stepping and domain meshing techniques for solution of Partial Differential Equations (PDEs ...
Beni, Catherine Elizabeth
core   +1 more source

Quadrature Solution for Fractional Benjamin–Bona–Mahony–Burger Equations

Fractal and Fractional
In this work, we present various novelty methods by employing the fractional differential quadrature technique to solve the time and space fractional nonlinear Benjamin–Bona–Mahony equation and the Benjamin–Bona–Mahony–Burger equation.
Waleed Mohammed Abdelfattah, Ola Ragb, Mokhtar Mohamed, Mohamed Salah, Abdelfattah Mustafa   +4 more
doaj   +1 more source

Artificial Intelligence for Blue Transformation: A Review of Predictive Modeling and Decision Support Systems in Sustainable Aquaculture

Sustainable Development, EarlyView.
ABSTRACT The FAO's “blue transformation” roadmap necessitates a fundamental shift towards precision aquaculture to meet global food security targets while minimizing environmental footprints. This review provides a comprehensive overview of how artificial intelligence (AI) and decision support systems (DSS) serve as pivotal enablers for the “better ...
Mustafa Öz, Enes Üstüner
wiley   +1 more source

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]

Journal of Chemical and Petroleum Engineering
The Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad, Asadollah Houshmand, Hooman Fatoorehchi   +2 more
doaj   +1 more source