1.Gaussian Elimination: function (x,det,flag)=Gauss(A,b), where A is the coefficient matrix of the equations; b is the right-hand side; det is the value of the determinant of the coefficient matrix; x is the solution of the equations. 2.Gaussian-Jordan Elimination: function (x,flag)=Gau_Jor(A,b), where flag=’ok’ indicates successful computation. 3.The syntax for plotting function graphs is: (1).plot——Utilize points to … Read more
Click the above“blue text” to follow us! Ordinary differential equations are relationships composed of independent variables, unknown functions, and derivatives (or differentials) of functions, closely related to physics, astronomy, and the rapidly evolving fields of science and technology. Newton used differential equations as a tool while studying celestial mechanics and classical mechanics, theoretically deriving the … Read more
High-precision calculation is an algorithm for programming design. Due to the word length limits of the central processing unit, for example, in a 32-bit CPU, an integer can only take a maximum value of 4,294,967,295 (=2^32-1). Therefore, in out-of-range numerical calculations, simulation methods are often required. Typically, the method of separating characters is used to … Read more
MATLAB – Simple Implementation of Numerical PDE Solving Introduction Traditional numerical methods for solving PDEs include characteristic line methods, finite element methods, boundary element methods, multigrid methods, spectral methods, Fourier transform methods, etc. Due to limitations in knowledge, this article will only utilize Finite Difference, FT, and Characteristic Line Methods to implement numerical solutions for … Read more
✅ Author Introduction: A research enthusiast and Matlab simulation developer, skilled in data processing, modeling simulations, program design, acquiring complete code, paper reproduction, and scientific simulations. 🍎 Personal Homepage:Matlab Research Studio 🍊 Personal Motto: Seek knowledge through exploration, feel free to message for help. 🔥 Content Introduction This article will explore the design and implementation … Read more