A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

The differences between a NASCAR Cup Series car and an INDYCAR car are pretty obvious. The stock car looks a little bit like the car folks can drive on the street. Its wheels don’t stick out beyond ...

The mGFD (meshless Generalized Finite Differences) repository provides a comprehensive solution for numerically solving Partial Differential Equations in two dimensions on highly irregular regions.

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...

Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...

Abstract: In this paper, aiming at discretizing continuous-time systems, a new formula of the improved finite difference, Zhang finite difference (ZFD), termed 4-instant g-square finite difference of ...

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