Algebraic methods and computational strategies for pseudoinverse-based MR image reconstruction (Pinv-Recon). [PDF]
Yeung K +11 more
europepmc +1 more source
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Phase plane analysis and novel soliton solutions for the space-time fractional Boussinesq equation using two robust techniques. [PDF]
Younas T, Ahmad J.
europepmc +1 more source
Abstract Boundary Delay Systems and Application to Network Flow
ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
wiley +1 more source
Conservation properties of non-conforming embedded finite-element methods based on lagrange multipliers. [PDF]
Nestola MGC +3 more
europepmc +1 more source
ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik +5 more
wiley +1 more source
Urea Detection in Phosphate Buffer and Artificial Urine: A Simplified Kinetic Model of a pH-Sensitive EISCAP Urea Biosensor. [PDF]
Simonyan K +4 more
europepmc +1 more source
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
Novel solitons in the (2+1)-dimensional Heisenberg spin chain via generalized conformable derivatives. [PDF]
Alam BE +2 more
europepmc +1 more source

