numerov method
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A Parallel-in-Time Implementation of the Numerov Method For Wave Equations

2021 ◽  
Vol 90 (1) ◽  
Author(s):  
Yafei Sun ◽  
Shu-Lin Wu ◽  
Yingxiang Xu
Keyword(s):  
Wave Equations ◽  
Numerov Method

scholarly journals ON NUMEROV METHOD FOR SOLVING FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS

2021 ◽  
Vol 4 (4) ◽  
pp. 355-362
Author(s):  
Abdulrahman Ndanusa ◽  
K. R. Adeboye ◽  
A. U. Mustapha ◽  
R. Abdullahi
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Boundary Value ◽  
System Of Differential Equations ◽  
Numerov Method

In this work, a fourth order ODE of the form  is transformed into a system of differential equations that is suitable for solution by means of Numerov method. The obtained solutions are compared with the exact solutions, and are shown to be very effective in solving both initial and boundary value problems in ordinary differential equations.

scholarly journals Surveying ultracold atom-atom binary collisions by utilizing renormalized Numerov method

2021 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
◽  
Keyword(s):  
Ultracold Atom ◽  
Numerov Method ◽  
Binary Collisions

scholarly journals Enhanced Numerov Method for the Numerical Solution of Second Order Initial Value Problems

2021 ◽  
Vol 1734 ◽  
pp. 012014
Author(s):  
G. O. Akinlabi ◽  
S. A. Bishop ◽  
S. O. Edeki
Keyword(s):  
Numerical Solution ◽  
Initial Value Problems ◽  
Second Order ◽  
Initial Value ◽  
Numerov Method

scholarly journals Numerical Solution via Numerov Method of the 1D-Schrödinger Equation with Pseudo-Delta Barrier

2018 ◽  
Vol 24 (3) ◽  
pp. 177-185 ◽  
Author(s):  
Samuel D.G Martinz ◽  
Rubens V. Ramos
Keyword(s):  
Schrödinger Equation ◽  
Numerical Solution ◽  
Schrodinger Equation ◽  
Numerov Method

scholarly journals Airy function approach and Numerov method to study the anharmonic oscillator potentials V(x) = Ax2α + Bx2

AIP Advances ◽  
2016 ◽  
Vol 6 (6) ◽  
pp. 065323 ◽  
Author(s):  
N. Al Sdran ◽  
F. Maiz
Keyword(s):  
Anharmonic Oscillator ◽  
Airy Function ◽  
Function Approach ◽  
Numerov Method

Pushing the limit for the grid-based treatment of Schrödinger's equation: a sparse Numerov approach for one, two and three dimensional quantum problems

2016 ◽  
Vol 18 (46) ◽  
pp. 31521-31533 ◽  
Author(s):  
Ulrich Kuenzer ◽  
Jan-Andrè Sorarù ◽  
Thomas S. Hofer
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Three Dimensional ◽  
Higher Dimensions ◽  
Second Order ◽  
Special Focus ◽  
Schrödinger’S Equation ◽  
Numerov Method ◽  
Schrödinger's Equation ◽  
Grid Based

The general Numerov method employed to numerically solve ordinary differential equations of second order was adapted with a special focus on matrix sparsity and applications in higher dimensions.

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