An apparently easy-looking math problem has left internet users scratching their heads. Give it a try to see if you can ...

In 1956, the American geologist M. King Hubbert made a startling prediction: In a matter of decades, the supply of fuel on which so much of modern society depended would dwindle. Dubbed the “peak oil” ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

In this research, the Differential Transformation Method (DTM) has been utilized to solve the hyperbolic Telegraph equation. This method can be used to obtain the exact solutions of this equation. In ...

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 ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...

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

A cubic equation is an algebraic expression that involves the variable of the highest degree as a cube. It has the general form ax^3 + bx^2 + cx + d = 0, where a, b, c, and d are constants and x ...

Abstract: In this paper, we propose a tensor multigrid method and an iterative tensor multigrid method to solve the Sylvester tensor equations which may arise from the discretization of high order ...