16 papers · ranked by Valyu relevance
João Henrique Andrade, Juncheng Wei
We classify entire positive singular solutions to a family of critical sixth order equations in the punctured space with a non-removable singularity at the origin. More precisely, we show that when the origin is a non-removable singularity, solutions are given by a singular radial factor times a periodic solution to a…
S. Roy Choudhury, Ranses Alfonso Rodriguez
New third- and fourth-order Lagrangian hierarchies are derived in this paper. The free coefficients in the leading terms satisfy the most general differential geometric criteria currently known for the existence of a variational formulation, as derived by solution of the full inverse problem of the Calculus of…
Mohammed S. Mechee, Mohammed Mahmood Salih
Background In this paper, we focus on deriving an efficient method for solving ordinary differential equations (ODEs) of sixth order, and then, we modify the proposed method for solving fractional differential equations (FDEs). Methods The methodology of this paper used the approach of derivation of implicit numerical…
Marianna Euler, Norbert Euler
We consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonlinear evolution equations and identify some symmetry-integrable equations in this class. Notably, the only symmetry-integrable evolution…
Mina M. Fahim, Hamdy M. Ahmed, K. A. Dib, Islam Samir
In this work, a sixth-order extension of the nonlinear Schrödinger equation (NLSE) within its integrable hierarchy is investigated to model higher-order nonlinear and dispersive effects relevant to optical fiber systems and nonlinear wave propagation. By employing the Improved Modified Extended Tanh Function Method, a…
Sania Qureshi, Amanullah Soomro, Asif Ali Shaikh, Evren Hincal + 1 more
'Nezihal Gokbulut'] This paper proposes a three-step iterative technique for solving nonlinear equations from medical science. We designed the proposed technique by blending the well-known Newton's method with an existing two-step technique. The method needs only five evaluations per iteration: three for the given…
Marius Mönch, Nicole Marheineke
The port-Hamiltonian approach offers a modeling of dynamic systems with an energyconserving and a dissipative part. Port-Hamiltonian (pH) systems are passive. That means no energy can be generated within the system. A passive system cannot store more energy than it receives. The exact solution of the pH system fulfills…
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore + 4 more
'Umesh Kumar Lilhore' 'Roobaea Alroobaea' 'Hamed Alsufyani' 'Abdullah M. Baqasah' 'Sarita Simaiya'] In this paper, the author introduces the Neural-ODE Hybrid Block Method, which serves as a direct solution for solving higher-order ODEs. Many single and multi-step methods employed in numerical approximations lose their…
João Henrique Andrade, Paolo Piccione, Juncheng Wei
We prove nonuniqueness results for constant sixth order Q-metrics on complete locally conformally flat n-dimensional Riemannian manifolds with n > 7. More precisely, assuming a positive Green function exists for the sixth order GJMS operator, our objective is two-fold. First, we use a classical bifurcation technique to…
Dulfikar Jawad Hashim, Mohammed Jasim Mohammed Alfahdawi
This study tackles the challenge of obtaining highly accurate approximate solutions for nonlinear fractional differential equations, which often lack exact solutions due to their inherent complexity. A unified perturbation framework is proposed based on homotopy topology theory, enabling multiple formulations depending…
Nasser M. Abbasi
This paper gives a detailed overview and a number of worked out examples illustrating the Kovacic [1] algorithm for solving second order linear differential equation A(x)y 00 +B(x)y 0 +C(x)y = 0 where A,B,C are rational functions with complex coefficients in the independent variable x. All three cases of the algorithm…
Emma Glass, Sahil Kulkarni, Christina Eng, Shurui Feng + 2 more
Nanoparticles (NP) are being increasingly explored as vehicles for targeted drug delivery because they can overcome free therapeutic limitations by drug encapsulation, thereby increasing solubility and transport across cell membranes. However, a translational gap exists from animal to human studies resulting in only…
Pooya Borzou, jafar ghaisari, Iman Izadi, Yasin Eshraghi + 1 more
Modern medicine is equipped with huge amounts of big biological datasets and a wide range of computational methods to understand the molecular events underlying complex disorders. The recent availability of omics data allows a holistic view towards the interactions of various biomolecule types. However, the constructed…
Authors not listed
Two kinetic schemes of the general modifier mechanism have been analysed in a quasi-steady state approximation, assuming that the reaction product concentration is negligible (a natural assumption for the initial rate method) and without additional simplifying assumptions. The characteristic equations have been…
Aleksandr Fedorov, Anna Perechodjuk, David Linke
Artificial neural networks (ANNs) are powerful tools for solving a wide range of tasks in fundamental and applied science. However, training and building reliable ANN models requires a lot of data which so far hinders their wider application in kinetic modelling where typically only small (experimental) datasets are…
Manuel Guerrero-Hurtado, Manuel Garcia-Villalba, Alejandro Gonzalo, Pablo Martinez-Legazpi + 5 more
Clot formation is a crucial process that prevents bleeding, but can lead to severe disorders when imbalanced. This process is regulated by the coagulation cascade, a biochemical network that controls the enzyme thrombin, which converts soluble fibrinogen into the fibrin fibers that constitute clots. Coagulation cascade…