Modelling with Ordinary Differential Equations
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A01=T.P. Dreyer
applied mathematical modeling for scientists
Author_T.P. Dreyer
Category=PBKJ
Closed Interval
curve fitting techniques
differential equation systems
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euler Algorithm
existence and uniqueness
Exponential Order
Gronwall Lemma
Kirchhoff's Voltage Law
Kirchhoff’s Voltage Law
laplace
Laplace Transform
Linear Differential Equations
Lipschitz Condition
Maclaurin Series
Malthus Model
mathematical modeling
Maximum Altitude
Newton Raphson Method
numerical solution methods
order
Order Differential Equations
Ordinary Differential Equations
Ordinary Linear Differential Equations
phase plane analysis
Piecewise Continuous Function
Primary Network
Rough Graph
Runge Kutta Algorithm
Sandhill Crane
Secondary Loop
Simple Harmonic Motion
Simple Pendulum
Solution Curve
T.P. Dreyer
transform
Truncation Error
Product details
- ISBN 9781138417540
- Weight: 730g
- Dimensions: 156 x 234mm
- Publication Date: 27 Jul 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.
This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
