Results 101 to 110 of about 1,574 (222)

New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium

Journal of Applied Mathematics, 2013
Two different analytical and numerical methods have been applied to solve the system describing the mixed convection boundary-layer nanofluids flow along an inclined plate embedded in a porous medium, namely, homotopy perturbation method (HPM) and ...
Emad H. Aly, Abdelhalim Ebaid
doaj   +1 more source

An adaptive pseudospectral method for wave packet dynamics

The Journal of Chemical Physics, 2012
We solve the time-dependent Schrödinger equation for molecular dynamics using a pseudospectral method with global, exponentially decaying, Hagedorn basis functions. The approximation properties of the Hagedorn basis depend strongly on the scaling of the spatial coordinates.
Kieri, Emil, Holmgren, Sverker, Karlsson, Hans O.   +2 more
openaire   +4 more sources

A Highly Accurate Computational Approach to Solving the Diffusion Equation of a Fractional Order

Mathematics
This study aims to present and apply an effective algorithm for solving the TFDE (Time-Fractional Diffusion Equation). The Chebyshev cardinal polynomials and the operational matrix for fractional derivatives based on these bases are relied on as crucial ...
Haifa Bin Jebreen
doaj   +1 more source

Pseudospectral vs finite difference methods for initial value problems with discontinuous coefficients

, 2018
: "An initial value problem with piecewise constant coefficients is considered. The accuracies for both finite difference methods and the pseudospectral method are analyzed, and a modification of the initial value problem is suggested.
Erding Luo (5365178), H Kreiss (5366459)   +1 more
core   +1 more source

Aircraft three-dimensional hardconstrained trajectory planning using pseudospectral optimization method

Journal of Aerospace Technology and Management, 2021
This paper is concerned with the three-dimensional constrained optimal path planning. To this end, an objective function is defined as the shortest trajectory length in such a way that some constraints including rough terrain avoidance, forbidden zone ...
Ali-Reza Babaei, Hossein Maghsoudi
doaj  

Trajectory generation for autonomous unmanned aircraft using inverse dynamics [PDF]

, 2010
The problem addressed in this research is the in-flight generation of trajectories for autonomous unmanned aircraft, which requires a method of generating pseudo-optimal trajectories in near-real-time, on-board the aircraft, and without external ...
Drury, R. G.
core  

Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems

Advances in Mathematical Physics, 2014
Nonlinear partial differential equations (PDEs) modelling unsteady boundary-layer flows are solved by the spectral relaxation method (SRM) and the spectral quasilinearization method (SQLM). The SRM and SQLM are Chebyshev pseudospectral based methods that
S. S. Motsa, P. G. Dlamini, M. Khumalo
doaj   +1 more source

Optimization of drug scheduling for cancer chemotherapy with considering reducing cumulative drug toxicity. [PDF]

Heliyon, 2023
Liu P, Xiao Q, Zhai S, Qu H, Guo F, Deng J.   +5 more
europepmc   +1 more source

Application of discretization methods in the online trajectory optimization of six-degree-of-freedom landing for reusable vehicles

Xibei Gongye Daxue Xuebao
The process of vertical soft landing for reusable vehicles presents challenges such as model deviations and sensitivity to the initial reference trajectory.
CHEN Haipeng, ZHANG Jiakai, CHEN Hongbo, YAN Jie   +3 more
doaj   +1 more source

Trajectory Planning of Autonomous Underwater Vehicles Based on Gauss Pseudospectral Method. [PDF]

Sensors (Basel), 2023
Gan W, Su L, Chu Z.
europepmc   +1 more source