ENGLISH

Numerical Analysis on Time Scales

By Svetlin G. Georgiev , İnci M. Erhan

Book information

Publisher
de Gruyter
Year
2022
ISBN
3110787253, 9783110787252
Language
english
Format
PDF
Filesize
6 MB (6219767 bytes)
Series
De Gruyter Textbook
Pages
392\392
Time added
2022-09-04 00:12:33

Description

Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales. These models must be dealt with using computational methods. This textbook introduces numerical methods for initial value problems for dynamic equations on time scales. Hands-on examples utilizing MATLAB and practical problems illustrate a wide variety of solution techniques. Preface Contents 1 Polynomial interpolation 2 Numerical integration 3 Piecewise polynomial approximation 4 The Euler method 5 The order 2 Taylor series method – TS(2) 6 The order p Taylor series method – TS (p) 7 Linear multistep methods – LMMs 8 Runge–Kutta methods – RKMs 9 The series solution method – SSM 10 The Adomian polynomials method 11 Weak solutions and variational methods for some classes of linear first-order dynamic systems 12 Variational methods for nonlinear dynamic equations A Rolle’s theorem B Fréchet and Gâteaux derivatives C Pötzsche’s chain rules D Lebesgue integration. Lp-spaces. Sobolev spaces E Mazur’s theorem Bibliography Index

Similar books