Finite-Difference-Methods This repository contains codes for solving partial differential equations using Finite Difference Methods in MATLAB.

4. Description of the Study This study employs a quantitative research design, focusing on the application of numerical methods to solve nonlinear boundary value problems (BVPs) for ordinary ...

Discover how to fix Claude Code’s memory issues with smarter strategies, boosting productivity and accuracy in AI-assisted coding.

Physics-informed dynamic mode decomposition (piDMD) This repository contains codes that calculate physics-informed dynamic mode decompositions from data [1].

This paper shows that, when an optimal control problem is characterized by a differential equation in which the time derivatives of the input are involved, a procedure for lowering the order of these ...

The nonlinear coupled system is represented as a Takagi-Sugeno (T-S) fuzzy coupled hyperbolic PDE-ODE model. Based on the T-S fuzzy model, a novel Lyapunov functional approach is proposed to design a ...

Mohyud-Din, S.T. and Noor, M.A. (2009) Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problems. Communications in Nonlinear Science and Numerical Simulation, 14, 1901-1908.