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Peter was editor of The Journal of Computational Finance from 2008 to 2013. We have selected the papers in these two issues, contributed by his friends and colleagues worldwide, to reflect both the ...

The president wants to prosecute protesters who desecrate the American flag, but his order concedes that such protests are typically covered by the First Amendment. By Charlie Savage and Luke ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...

1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Separation of variables is a powerful method for solving differential equations, enabling the simplification of complex problems into more manageable parts. This video offers a clear and detailed ...

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

Abstract: Ordinary differential equations are solved numerically using number of methods. In this paper, an analysis of finding out the solution of n-th order differential equations has been done ...