308 Pages
by
CRC Press
304 Pages
by
CRC Press
304 Pages
by
Routledge
Also available as eBook on:
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... Read more
Introduction: Mathematical Modelling. Boundary Value Problems. Direction Fields. Finding Zeros. Exercises.
First Order Differential Equations: Population Growth: The Malthus Model. Least Squares Method of Curve Fitting. Population Growth: The Logistic Model. Harvesting. Optimization of Profit. Epidemics. Potato Blight. Free Fall with Air Resistance. Power. Rockets. Exercises. Projects. Mathematical Background.
Numerical Methods: Existence Theorem. Euler Algorithm. Error Analysis. Runge-Kutta Algorithm. Fruitflies. Exercises. Projects. Mathematical Background.
Laplace Transforms: Linear Transforms. Properties of Laplace Transforms. Solving Differential Equations with Laplace Transforms. Table of Laplace Transforms. Exercises. Projects. Mathematical Background.
Simultaneous Linear First Order Differential Equations: Projectile Trajectories with Air Resistance. Romantic Relationships. Neutron Flow. Electrical Networks. Marriage. Residential Segregation. Exercises. Projects. Mathematical Background.
Second Order Linear Differential Equations: Mechanical Vibrations. Electrical Networks. The Ignition System of an Automobile. Simultaneous Equations. Exercises. Projects. Mathematical Background.
Non-Linear Second Order Differential Equations: The Pendulum without Damping. The Pendulum with Damping. Population of Interacting Species. Exercises. Mathematical Background. Table of Integrals. Answers. References. Index.
First Order Differential Equations: Population Growth: The Malthus Model. Least Squares Method of Curve Fitting. Population Growth: The Logistic Model. Harvesting. Optimization of Profit. Epidemics. Potato Blight. Free Fall with Air Resistance. Power. Rockets. Exercises. Projects. Mathematical Background.
Numerical Methods: Existence Theorem. Euler Algorithm. Error Analysis. Runge-Kutta Algorithm. Fruitflies. Exercises. Projects. Mathematical Background.
Laplace Transforms: Linear Transforms. Properties of Laplace Transforms. Solving Differential Equations with Laplace Transforms. Table of Laplace Transforms. Exercises. Projects. Mathematical Background.
Simultaneous Linear First Order Differential Equations: Projectile Trajectories with Air Resistance. Romantic Relationships. Neutron Flow. Electrical Networks. Marriage. Residential Segregation. Exercises. Projects. Mathematical Background.
Second Order Linear Differential Equations: Mechanical Vibrations. Electrical Networks. The Ignition System of an Automobile. Simultaneous Equations. Exercises. Projects. Mathematical Background.
Non-Linear Second Order Differential Equations: The Pendulum without Damping. The Pendulum with Damping. Population of Interacting Species. Exercises. Mathematical Background. Table of Integrals. Answers. References. Index.
Biography
T.P. Dreyer
