In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis [PDF]
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
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
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
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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
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Global extrapolation procedures for linear partial differential equations [PDF]
Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
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On Some Results of the Nonuniqueness of Solutions Obtained by the Feynman–Kac Formula
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
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Simulation and visualization of wave equation
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
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Hyena neural operator for partial differential equations
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
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Higher-order finite-difference methods for partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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