Time Fractional PDEs
Graded L1 Formula + ADI + CFDM
Python implementation of method on 2-D TFPDE for higher order in space and time using graded L1 scheme CFDM with ADI.
GitHubL1-2 Formula + ADI + CFDM
Python implementation of method on 2-D TFPDE for higher order in space and time using L1-2 scheme CFDM with ADI proposed by Liang et al.
GitHub2-D Parabolic PDEs
ADI+CFDM
Python implementation of method on 2-D diffusion reaction equation for higher order in space using CFDM with ADI in space discretization proposed by Mingyu et al.
GitHubFinite Element Method
Ritz Variational Method
Python implementation of the Ritz method for differential equations and structural mechanics applications.
GitHubCompact Finite Difference Method
Solution of Heat and ADR Equations
Development of high-order compact finite difference methods for 1D Heat and ADR equations under the guidance of Dr. Harshita Madduuri.
GitHubBlack Scholes PDE
Python implementation of a high-order Compact Finite Difference Method for the Black–Scholes PDE as proposed by Roul (2017).
GitHubSolution of Non Linear Heat equation
Python implementations of numerical methods for solving nonlinear heat equations, including examples with prescribed initial and boundary conditions.
GitHubSolution of Non Linear ODEs
Numerical solutions of nonlinear ordinary differential equations using Compact Finite Difference Methods and interpolation techniques.
GitHubFinite Difference Method
Solution of non linear PDE
Numerical methods for solving nonlinear equations and nonlinear partial differential equations using iterative techniques.
GitHubImplicit Finite Difference Methods
A collection of numerical methods for solving PDEs using implicit finite difference techniques and efficient tridiagonal system solvers.
GitHubSolution of PDEs
Numerical solutions of elliptic, parabolic, and hyperbolic PDEs using finite differences.
GitHubSolution of ODEs
A collection of finite difference method implementations for linear boundary value problems with Dirichlet and Neumann boundary conditions.
GitHubBasic Numerical Methods
Interpolation
A collection of numerical interpolation methods for estimating unknown values from discrete data.
GitHubMethods of Root Finding
A collection of classical methods for locating and approximating equation roots.
GitHubNumerical Integration
Python implementations of numerical integration techniques for approximating definite integrals.
GitHubSolution of ODE
Classical numerical algorithms for solving first- and second-order differential equations in Python.
GitHubSolution of System of Linear Equations
A collection of iterative and direct methods for solving linear systems.
GitHubODE Solver Python Package
Euler, Runge-Kutta, and Predictor-Corrector methods in one Python package.
GitHub