High-Accuracy Large-Step Explicit Runge-Kutta (HALE-RK) Schemes for Computational Aeroacoustics

2006 ◽  
Author(s):  
Ray Hixon ◽  
Vasanth Allampali ◽  
M. Nallasamy ◽  
Scott Sawyer
Keyword(s):  
High Accuracy ◽  
Computational Aeroacoustics ◽  
Large Step ◽  
Runge Kutta

High-accuracy large-step explicit Runge–Kutta (HALE-RK) schemes for computational aeroacoustics

2009 ◽  
Vol 228 (10) ◽  
pp. 3837-3850 ◽  
Author(s):  
Vasanth Allampalli ◽  
Ray Hixon ◽  
M. Nallasamy ◽  
Scott D. Sawyer
Keyword(s):  
High Accuracy ◽  
Computational Aeroacoustics ◽  
Large Step ◽  
Runge Kutta

High-accuracy algorithms for computational aeroacoustics

AIAA Journal ◽  
1995 ◽  
Vol 33 (2) ◽  
pp. 246-251 ◽  
Author(s):  
David P. Lockard ◽  
Kenneth S. Brentner ◽  
H. L. Atkins
Keyword(s):  
High Accuracy ◽  
Computational Aeroacoustics

scholarly journals A novel iterative method for solving chemical kinetics system

2021 ◽  
pp. 146134842199261
Author(s):  
MSH Chowdhury ◽  
Indranil Ghosh ◽  
Suazlan Mt Aznam ◽  
Shukranul Mawa
Keyword(s):  
Iterative Method ◽  
Large Class ◽  
Chemical Kinetics ◽  
Fourth Order ◽  
Analytical Method ◽  
High Accuracy ◽  
Kutta Method ◽  
High Agreement ◽  
Runge Kutta Method ◽  
Runge Kutta

The purpose of this research is to impose a semi-analytical method called the iterative method to the chemical kinetics system, which appears in the form of a system of ordinary differential equations. To test the accuracy of the standard iterative method, we have applied the classical fourth-order Runge–Kutta method and the iterative method to the chemical kinetics system. It is significantly notable that approximate analytical precisions of standard iterative method made a high agreement with those obtained from the fourth-order Runge–Kutta technique. Numerical outputs and solution procedures indicate that iterative method can be easily applicable to a large class of scientific numeric applications with high accuracy.

scholarly journals He’s Max-Min Approach for Coupled Cubic Nonlinear Equations Arising in Packaging System

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Jun Wang
Keyword(s):  
Computer Simulation ◽  
Approximate Solution ◽  
Numerical Solution ◽  
Nonlinear Equations ◽  
High Accuracy ◽  
Packaging System ◽  
Novel Method ◽  
Runge Kutta

He’s inequalities and the Max-Min approach are briefly introduced, and their application to a coupled cubic nonlinear packaging system is elucidated. The approximate solution is obtained and compared with the numerical solution solved by the Runge-Kutta algorithm yielded by computer simulation. The result shows a great high accuracy of this method. The research extends the application of He’s Max-Min approach for coupled nonlinear equations and provides a novel method to solve some essential problems in packaging engineering.

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