Numerical Methodshttps://bastakiss.com/blog/162024-07-05T08:41:09ZNewton-Raphson Method for Solving Nonlinear Equationshttps://bastakiss.com/blog/numerical-methods-16/newton-raphson-method-for-solving-nonlinear-equations-145Hamed Mohammadi1 Introduction Nonlinear equations, unlike their linear counterparts, can’t be solved with simple algebra. But fear not, for Newton’s method comes to the rescue! This iterative technique is a powerful...2024-07-05T08:41:09ZSolving Nonlinear Equation Using Regula Falsi Methodhttps://bastakiss.com/blog/numerical-methods-16/solving-nonlinear-equation-using-regula-falsi-method-136Hamed MohammadiIntroduction In many science and engineering there is occasions that we need to solve nonlinear equation, that is find the roots of an equation, which is the points where the equation graph meets the ...2024-06-27T10:52:19ZSolving Nonlinear Equations Using Bisection Methodhttps://bastakiss.com/blog/numerical-methods-16/solving-nonlinear-equations-using-bisection-method-135Hamed MohammadiIntroduction The bisection method is an iterative approach to finding the roots (zeros) of a continuous function. It works by repeatedly dividing the interval containing the root in half and checking ...2024-06-26T19:16:03ZEstimation of Errors in Numerical Solutionshttps://bastakiss.com/blog/numerical-methods-16/estimation-of-errors-in-numerical-solutions-133Hamed MohammadiIntroduction Since numerical solutions for solving science and engineering problems are not exact, we need some criterion to identify to what extent the estimated solution that we just have obtained u...2024-06-26T05:31:54ZSolving Nonlinear Equationshttps://bastakiss.com/blog/numerical-methods-16/solving-nonlinear-equations-128Hamed MohammadiIn the diverse fields of science and engineering, solving equations is a fundamental task. An equation with one variable is typically expressed in the form: f ( x ) = 0 A "solution" or "root" of the e...2024-06-19T08:33:21ZUnderstanding Errors in Numerical Solutionshttps://bastakiss.com/blog/numerical-methods-16/understanding-errors-in-numerical-solutions-122Hamed MohammadiNumerical methods are indispensable tools in engineering, physics, and applied mathematics, providing solutions where analytical methods fall short. However, these solutions are approximations and com...2024-06-15T16:35:05ZThe Power of Numerical Methods in Problem-Solving in Science and Engineeringhttps://bastakiss.com/blog/numerical-methods-16/the-power-of-numerical-methods-in-problem-solving-in-science-and-engineering-121Hamed MohammadiIn science and engineering, numerical methods are methods for solving problems that defy analytical solutions. These mathematical strategies are our allies when we encounter equations that resist a st...2024-06-14T19:08:28Z