Results 111 to 120 of about 2,370 (192)

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

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.
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

Deep Energy Method for Large Deformation Analysis of Isotropic and Inhomogeneous Hyperelastic Ellipsoidal Pressurized Structures

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The accurate prediction of displacement and stress fields in pressure vessels is essential for the safe and reliable design of these structures, particularly when dealing with nonlinear behavior such as that of hyperelastic functionally graded materials (FGMs).
Nasser Firouzi, Shaofan Li, Timon Rabczuk   +2 more
wiley   +1 more source

Heat Transfer of Viscous MHD Nanofluid Flow in the Presence of Solar Radiation With Entropy

Abstract and Applied Analysis
To satisfy the power needs of human beings without affecting the environment, scientists have been working on the efficient practices of renewable energy sources such as solar, water, and wind.
Girma Tafesse Workneh, Aychew Wondyfraw Tesfaye   +1 more
doaj   +1 more source

Neural‐Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT We propose a Newton‐based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a physics‐informed neural operator based on conditional neural fields or Fourier neural operators is trained to approximate the nonlinear parametric solution of the ...
Kianoosh Taghikhani, Yusuke Yamazaki, Jerry Paul Varghese, Markus Apel, Reza Najian Asl, Shahed Rezaei   +5 more
wiley   +1 more source

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization. [PDF]

Sci Rep
Sasaki S, Endo K, Muramatsu M.
europepmc   +1 more source

A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]

Sci Rep
Hafez RM, Ahmed HM, Alburaikan A, Alrajeh MAA, Khalifa HAE.   +4 more
europepmc   +1 more source

Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]

Sci Rep
Khalid M, Khalid NA, Ceesay B, Ahmed N.
europepmc   +1 more source

Innovative Aboodh-based gractional analytical methods for nonlinear Burgers' partial differential equations. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Haleemzai I, Zaidi HN, Hussain S, Mukhtar S, Mohammed WW.   +6 more
europepmc   +1 more source

The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]

Acta Biotheor
Singh AK, Almshekhs R, Kumar M, Ramakrishnan S.   +3 more
europepmc   +1 more source

New analytical wave solutions for the gardner equation via the Riccati-modified extended simple equation method. [PDF]

Sci Rep
Jawarneh Y, Almusawa MY, Haleemzai I, Hakami AH, Ahmadini AAH, Albaity A.   +5 more
europepmc   +1 more source