Explore numerical methods with programming examples in BASIC, FORTRAN, Pascal, and C++ for solving mathematical problems effectively.

This study presents an (ε, μ)−uniform numerical method for a two-parameter singularly perturbed time-delayed parabolic problems. The proposed approach is based on a fitted operator finite difference ...

With the advancement of human societal activities, it is increasingly challenging to satisfy growing demands with limited land resources and space. Consequently, mankind has shifted its focus towards ...

ABSTRACT: In this paper, we propose two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, i.e., s = p = 3) and ARK34 (a four-stage third-order method, i.e., s = 4, ...

Students have an opportunity to start a career in the high-demand, high-pay Computer Numerical Control industry this spring at Illinois Valley Community College. Wednesday night manufacturing courses ...

This project is part of a level 2 end-of-semester exam course in Industrial Mathematics that focuses on Numerical Simulations for Selected 1D and 2D Mass Spring Models and Applications.

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In this work, an algorithm based on method of lines coupled with radial basis functions namely meshless method of lines (MMOL) is presented for the numerical solution of Kawahara, modified Kawahara ...