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Overview of Differential Equations

  • Neha YadavEmail author
  • Anupam Yadav
  • Manoj Kumar
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

This chapter presents a general introduction to differential equations together with its boundary conditions. In general, a differential equation is an equation which involves the derivatives of an unknown function represented by a dependent variable. It expresses the relationship involving the rates of change of continuously changing quantities modeled by functions and are used whenever a rate of change (derivative) is known. A brief introduction to different numerical methods in the existing literature like finite difference, finite element, shooting method and spline based method is also presented.

Keywords

Ordinary differential equation Partial differential equation Dirichlet boundary condition Neumann boundary condition Mixed boundary condition 

Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Department of Applied SciencesITM UniversityGurgaonIndia
  2. 2.Department of Sciences and HumanitiesNational Institute of Technology UttarakhandSrinagarIndia
  3. 3.Department of MathematicsMotilal Nehru National Institute of TechnologyAllahabadIndia

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