Applied Differential Equations with Boundary Value Problems - Vladimir Dobrushkin

Applied Differential Equations with Boundary Value Problems

Buch | Hardcover
698 Seiten
2017
Crc Press Inc (Verlag)
978-1-4987-3365-6 (ISBN)
137,15 inkl. MwSt
This version of the author's DE text will include a new chapter on Linear Boundary Value Problems for instructors who want to add this coverage to their DE course.
Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s popular textbook adds coverage of boundary value problems.

The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations.

This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.

Vladimir A. Dobrushkin is a Visiting Professor in the Center for Fluid Mechanics—Applied Mathematics Department at Brown University.

First-Order Equations. Applications of First Order ODE. Mathematical Modeling and Numerical Methods. Second-order Equations. Laplace Transforms. Series of Solutions. Applications of Higher Order Differential Equations. Linear Boundary Value Problems, Introduction to Green's Functions; Nonhomogeneous Boundary Value Problems; Singular Sturm--Liouville Problems, Bessel Series Expansion, Orthogonal Polynomial Expansions; Appendix: Software Packages. Answers to Problems. Bibliography. Index

Erscheinungsdatum
Reihe/Serie Textbooks in Mathematics
Zusatzinfo 20 Tables, black and white; 260 Illustrations, black and white
Verlagsort Bosa Roca
Sprache englisch
Maße 210 x 280 mm
Gewicht 1990 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-4987-3365-4 / 1498733654
ISBN-13 978-1-4987-3365-6 / 9781498733656
Zustand Neuware
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