Aravind.V

Computer Science and Engineering

Sairam Institute of Technology, Anna University

Chennai, Tamil Nadu aravindv96@yahoo.com Aakash kishan

Computer Science and Engineering

Sairam Institute of Technology, Anna University

Chennai, Tamil Nadu

Aakash_kishan@outlook.com

Abstract—Mathematics is all around us. As we discover more and more about nature, we find it that nature can be described mathematically. Mathematics plays a fundamental role in forecasting the weather. Numerical weather prediction uses mathematical models of the atmosphere and oceans to predict the weather based on current weather conditions.

Keywords—Numerical Weather Predication, computational power, The finite difference method;

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In the early 20th century, scientists, in particular Vilhelm Bjerknes and Lewis Fry Richardson, pioneered numerical weather forecasting, which is based on applying physical laws to the atmosphere and solving mathematical equations associated to these laws. The discovery of chaos theory and not least the development of computers greatly improved the quality of forecasts. Today, meteorologists constantly refine the various forecasting models designed by the world's leading weather

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But without the invention and subsequent improvement of computers, numerical weather prediction would still be in its infancy. Understanding chaos and developing new and better weather observation methods also contributed to improving forecast accuracy. A six-day forecast nowadays is now as accurate as a one-day forecast in 1968. Current one-day forecasts are accurate in 9 out of 10 cases, and three-day forecasts still have a hit rate of