You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. This module addresses standard topics from a first course in numerical methods ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

Abstract: This work proposes a numerical technique for the analysis of Doppler radar systems, which are used in many applications, including but not limited to aircraft detection, vital signs ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...

This course is an introduction to the numerical solution of partial differential equations (PDEs). It contains a theoretical part setting the mathematical foundations necessary for understaning some ...

Abstract: Imaging of fracture morphology and orientation through acoustic remote detection technology is crucial for the efficient exploration and development of fractured reservoirs. The 2-D elastic ...

This paper focuses on the tensile cracking mechanisms of rock masses containing random fissures and conducts research based on the meshless numerical method. In view of the shortcomings in traditional ...