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f_backyard__ordinary_differential_equations icon f_backyard__ordinary_differential_equations

The Euler, the Leapfrog and the fourth-order Runge-Kutta method are used to solve ODEs in MATLAB. Stability and accuracy improved for different numerical methods. The false position method and the WKB approximation are used to estimate the eigenvalues for a simple harmonic oscillator.

f_backyard__pade_approximants icon f_backyard__pade_approximants

The adaptability of Padé approximants and its error growth in comparison with the power series correspondences for target polynomials. The variation of zeroes and poles of the Padé approximants with the drawbacks of employing this algorithm investigated.

f_backyard__phase_and_group_velocity icon f_backyard__phase_and_group_velocity

The method of stationary phase and the centred-difference approximation are used to generate the finite-difference scheme for solving Klein-Gordon equation in MATLAB.

f_backyard__search_engine icon f_backyard__search_engine

A search engine is constructed to return customised recipes according to three sorting algorithms. Speed is improved by performing pre-processing and inverted index.

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