In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis [PDF]
Journal of Pain Research, 2015 Oscar A Linares,1 William E Schiesser,2 Jeffrey Fudin,3–6 Thien C Pham,6 Jeffrey J Bettinger,6 Roy O Mathew,6 Annemarie L Daly7 1Translational Genomic Medicine Lab, Plymouth Pharmacokinetic Modeling Study Group, Plymouth, MI, 2Department of ...
Linares OA +6 more
doaj +2 more sources
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. [PDF]
Proc Math Phys Eng Sci, 2020 Zhang ZY.
europepmc +2 more sources
On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
Opuscula Mathematica, 2021 We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj +1 more source
Jurnal Matematika UNAND, 2022 The classical solution and the strong solution of a partial differential equation problem are continuously differentiable solutions. This solution has a derivative for a continuous infinity level.
Bayu Prihandono +2 more
doaj +1 more source
On Some Results of the Nonuniqueness of Solutions Obtained by the Feynman–Kac Formula
Mathematics, 2023 The Feynman–Kac formula establishes a link between parabolic partial differential equations and stochastic processes in the context of the Schrödinger equation in quantum mechanics.
Byoung Seon Choi, Moo Young Choi
doaj +1 more source
Simulation and visualization of wave equation
Data Analytics and Applied Mathematics, 2023 The partial differential equation (PDE) is significant in mathematics, physics, and engineering fields. The PDE model is one of the problems in a real-life situation that is complex to resolve and it involves many variables to be solved.
NUR ATIKAH SALAHUDIN +4 more
doaj +1 more source
Hyena neural operator for partial differential equations
APL Machine Learning, 2023 Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to solving partial
Saurabh Patil +2 more
doaj +1 more source
Nonlinear differential equation with first order partial derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2018 The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj +1 more source
Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
doaj +1 more source
Solving Partial Differential Equations Using Deep Learning and Physical Constraints
Applied Sciences, 2020 The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task.
Yanan Guo +3 more
doaj +1 more source