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 research findings have demonstrated that finite difference methods offer a powerful tool for approximating option prices and hedging parameters, especially in cases where closed-form solutions are ...

Department of Mathematics and Applied Mathematics, Nelson Mandela University, University Way, Summerstrand, Gqeberha, South Africa The plan of this study is detailed below. Section 2 describes the ...

1 Département de Physique, Faculté des Sciences, Université du Burundi, Bujumbura, Burundi. 2 Software Engineering, College of Software, Nankai University, Tianjin, China. 3 Faculté des Sciences de ...

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 ...

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1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt 2 Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt This paper investigates the ...

Single-file implementations of 2D and 3D acoustic and elastic wave propagation in time domain using finite-differences(FDTD). Simple formulation and implementation ...