Results 1 to 10 of about 3,116 (147)

A Practical Tutorial on Physics-Informed Networks for Pharmacometrics and Quantitative Systems Pharmacology. [PDF]

open access: yesCPT Pharmacometrics Syst Pharmacol
ABSTRACT Inverse problems in pharmacometrics and quantitative systems pharmacology (QSP) often involve sparse, noisy data, limited measurable states, and complex dynamical systems. Traditional parameter estimation methods can struggle with ill‐posed problems, stiffness, discontinuities, and gray‐box scenarios where only part of the system dynamics is ...
Ahmadi Daryakenari N, Kohandel M.
europepmc   +2 more sources

Numerical Solutions of Inverse Nodal Problems for a Boundary Value Problem

open access: yesMathematics, 2022
In this paper, we study inverse nodal problems for a boundary value problem. A uniqueness result for the potential function and a reconstruction method are obtained.
Yong Tang   +3 more
doaj   +1 more source

A new approach to the formation of systems of linear algebraic equations for solving ordinary differential equations by the collocation method [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
A new algorithm for the numerical solution of one-dimensional Cauchy problems and Poisson equations is implemented. The algorithm is based on the collocation method and representation of the solution as an expansion in Chebyshev polynomials.
Sevastianov, Leonid A.   +2 more
doaj   +1 more source

Linear Pseudospectral Method with Chebyshev Collocation for Optimal Control Problems with Unspecified Terminal Time

open access: yesAerospace, 2022
In this paper, a linear Chebyshev pseudospectral method (LCPM) is proposed to solve the nonlinear optimal control problems (OCPs) with hard terminal constraints and unspecified final time, which uses Chebyshev collocation scheme and quasi-linearization ...
Yang Li, Wanchun Chen, Liang Yang
doaj   +1 more source

Numerical Solution of Optimal Control Problems Using New Third Kind Chebyshev Wavelets Operational Matrix of Integration [PDF]

open access: yesEngineering and Technology Journal, 2014
In this paper, we first construct third kind Chebyshev wavelets on the interval [0,1). Then, a 2^k M×2^k M matrix P, named as almost third kind Chebyshev wavelets operational matrix of integration is constracted and used to reduce the optimal control ...
Asmaa Abdullah Abdurrahman
doaj   +1 more source

Numerical solution of eight order boundary value problems using Chebyshev polynomials [PDF]

open access: yesMathematics and Computational Sciences, 2023
First-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems.
Musiliu Tayo Raji   +5 more
doaj   +1 more source

To Solution of Contact Problem for Rectangular Plate on Elastic Half-Space

open access: yesНаука и техника, 2020
Until the present time there is no exact solution to the contact problem for a rectangular plate on an elastic base with distribution properties. Practical analogues of this design are slab foundations widely used in construction.
S. V. Bosakov
doaj   +1 more source

On computation of Hough functions [PDF]

open access: yesGeoscientific Model Development, 2016
Hough functions are the eigenfunctions of the Laplace tidal equation governing fluid motion on a rotating sphere with a resting basic state. Several numerical methods have been used in the past.
H. Wang, J. P. Boyd, R. A. Akmaev
doaj   +1 more source

Dynamic multi‐objective optimisation of complex networks based on evolutionary computation

open access: yesIET Networks, EarlyView., 2022
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley   +1 more source

Numerical estimation of the fractional advection–dispersion equation under the modified Atangana–Baleanu–Caputo derivative

open access: yesResults in Physics, 2023
The transport of contaminants is a crucial environmental issue, and accurate modeling of this phenomenon is vital for developing effective strategies for its management.
Mohammad Partohaghighi   +3 more
doaj   +1 more source

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