Application of Interpolation, Newton-Raphson’s Method in Weather Forecasting

A distinct collection of known data points can be expanded upon using the Interpolation method to create additional data points within its range. For both regularly and unevenly spaced data points, various techniques have been devised to create usable interpolation equations. The Newton method is another name for the Newton's-Raphson approach. It bears the names of Joseph Raphson and Isaac Newton. This approach is a simple way to solve non-square and nonlinear problems as well as get an approximation of the real value's roots. Additionally, it tries to illustrate a novel method for calculating non-linear equations that is quite similar to the straightforward Newton Raphson method. The inverse Jacobian matrix will be employed in various applications as well as for additional calculations. The Newton Raphson method's applications and constraints, the derivative Newton Raphson formula algorithm, and the self-derivative function in solving nonlinear equations with a scientific calculator are covered below.