NSOPDE

---

MA20102 : Numerical Solution of Ordinary and Partial Differential Equations

• contains codes to execute different numerical methods to solve numerically ODE or PDE
• Refer to examples.ipynb for how to use the method
• call help(NSOPDE.name_of_method) to get details about the method, just replace 'name_of_method' by name of method.

---

List of Methods Implemented

• Euler Forward method
• Newton Raphson Method 1D
• Euler Backward method
• Modified Euler method
• Euler Cauchy Method/Hune Method
• Ranga Kutta method of thita
• General 2nd Order method
• Nystrom 3rd order method
• Hune 3rd order method
• Classical 3rd Order method
• Nearly optimal 3rd Order method
• Kutta Method 4th order method
• Classical 4th Order method
• General Explicit Ranga Kutta method
• Newton Raphson Method for solving for y for a given x in F(x,y) = 0
• Implicit RK Method of order 2
• Implicit RK Method of order 4
• Forward Difference operator
• Backward Difference operator
• Adam Bashford method
• Adam Moulton method
• Newton Raphson Method for solving for y for a given x in y-coeff* F(x,y) = intercept
• Milne Simpson method
• Adams Bashforth Moulton PC method
• Milne PC method
• Euler PC method
• Thomas Algorithm for solving tridiagonal system
• Finite Difference Method to solve general 2nd order BVP

---

Further scope

• Methods to solve PDEs