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High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations

by Ulziibayar Vandandoo
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Current price ₹2,056.00
Original price ₹3,163.00
Original price ₹3,163.00
Original price ₹3,163.00
(-35%)
₹2,056.00
Current price ₹2,056.00

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Book cover type: Hardcover
  • ISBN13: 9783031447839
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 114
  • Original Price: EUR 27.99
  • Language: English
  • Edition: 2024
  • Item Weight: 363 grams
  • BISAC Subject(s): Engineering (General), Computer Science, and Mechanical

From the Back Cover

This monograph is intended for graduate students, researchers and teachers. It is devoted to the construction of high-order schemes of the finite difference method and the finite element method for the solution of multidimensional boundary value problems for various partial differential equations, in particular, linear Helmholtz and wave equations, and nonlinear Burgers' equation. The finite difference method is a standard numerical method for solving boundary value problems. Recently, considerable attention has been paid to constructing an accurate (or exact) difference approximation for some ordinary and partial differential equations. An exact finite difference method is developed for Helmholtz and wave equations with general boundary conditions (including initial condition for wave equation) on the rectangular domain in R2. The method proposed here comes from [4] and is based on separation of variables method and expansion of one-dimensional three-point difference operators for sufficiently smooth solution. The efficiency and accuracy of the method have been tested on several examples.

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