Numerical continuation methods for nonlinear equations and bifurcation problems

In studies of solutions of various types of nonlinear boundary value problems for ordinary differential equations side by side with numerical methods, it is often used an

Using these methods to solve some initial value problems of first order ordinary differential equations, we discovered that the results compared favorably, which led to the

Keywords: Nonlinear Equations, Ordinary Differential Equations, Numerical Integration, Fixed Point Iteration, Newton’s Method, Stiff, Ill-Conditioned.. We developed a set of

This book discusses the methods, algorithms, and analysis involved in the computational solution of three important nonlinear problems: solving sys- tems of nonlinear

Textbooks: A First Course in the Numerical Analysis of Differential Equations, by Arieh Iserles and Introduction to Mathematical Modelling with Differential Equations, by

4 2-POINT BLOCK MULTISTEP METHODS FOR SPECIAL SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS 4.1 Introduction 4.2 Derivation of Block Methods for Step Number k=3 and k=5 4.2.1 First

THE NUMERICAL SOLUTION OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS USING THE KELLER BOX

Textbooks: A First Course in the Numerical Analysis of Differential Equations, by Arieh Iserles and Introduction to Mathematical Modelling with Differential Equations, by