Numerical Analysis Questions
The concept of finite element method for solving differential equations involves dividing a continuous domain into smaller, finite elements. These elements are connected at specific points called nodes. By approximating the solution within each element using a set of basis functions, such as polynomials, the differential equation is transformed into a system of algebraic equations. These equations can then be solved numerically to obtain an approximate solution for the differential equation over the entire domain. The finite element method allows for the efficient and accurate solution of complex differential equations in various fields such as engineering, physics, and applied mathematics.