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Mahathi Narayanaswamy's Projects

1d-diffusionequation icon 1d-diffusionequation

The diffusion equation is a parabolic partial differential equation. The 1-D form of the diffusion equation is also known as the heat equation. This is a program to solve the diffusion equation nmerically.

2-bodyplanetaryorbittrajectory icon 2-bodyplanetaryorbittrajectory

This code provides the trajectory of an earth-like planet around the sun while neglecting the influence of other possible planets on its trajectory.

buffonsneedledrop icon buffonsneedledrop

Buffon's Needle Drop problem is among the first geometric probability problems in mathematics to be solved. It addresses the following question: Given a needle of length l dropped on a plane ruled with parallel lines d units apart, what is the probability that the needle will lie across a line upon landing?

coupledoscillatorsandlissajousfigures icon coupledoscillatorsandlissajousfigures

This a python simulation of coupled oscillators to obtain the normal frequencies and the position-time graphs of the oscillators and additionally also obtain lissajous figures.

rungekutta-vs-eulersmethod icon rungekutta-vs-eulersmethod

Fourth order Runge Kutta(RK-4) and the Euler's Method are two methods of numerically solving differential equations.

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