High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations / Synthesis Lectures on Engineering, Science, and Technology (PDF)

Name: High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations / Synthesis Lectures on Engineering, Science, and Technology
Brand: Springer International Publishing
SKU: 152692542
Price: 29.69 EUR
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(Sprache: Englisch)

Autoren: Ulziibayar Vandandoo , Tugal Zhanlav , Ochbadrakh Chuluunbaatar , mehr...

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High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations / Synthesis Lectures on Engineering, Science, and Technology, Ulziibayar Vandandoo, Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Alexander Gusev, Sergue Vinitsky, Galmandakh Chuluunbaatar

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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 forsufficiently smooth solution. The efficiency and accuracy of the method have been tested on several examples.

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Autoren: Ulziibayar Vandandoo , Tugal Zhanlav , Ochbadrakh Chuluunbaatar , Alexander Gusev , Sergue Vinitsky , Galmandakh Chuluunbaatar
2024, 1st ed. 2024, 114 Seiten, Englisch
Verlag: Springer International Publishing
ISBN-10: 3031447840
ISBN-13: 9783031447846
Erscheinungsdatum: 05.02.2024

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