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2025 | OriginalPaper | Chapter

11. Partial Differential Equations: Problems

Author : Mehdi Rahmani-Andebili

Published in: Mathematics of Engineering and Science

Publisher: Springer Nature Switzerland

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Abstract

In this chapter, the basic and advanced problems of partial differential equations are presented. The subjects include determining the type of partial differential equations, updating partial differential equations by new variables, solving partial differential equations by using the techniques used in solving ordinary differential equations, solving partial differential equations by using their characteristics equations, solving partial differential equations by using variables separation method, solving partial differential equations by Laplace transform, and solving partial differential equations in a steady-state condition. Herein, different types of problems and exercises are presented that are categorized as follows:
  • Problems with detailed solution: They have been designed to teach students the subjects in detail. Moreover, they have been categorized into different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large).
  • Partially solved exercises: They have been designed to encourage students to practice more problems while guiding them through the problem-solving procedure and hinting the required formulas.
  • Exercises with final answer: They have been designed to encourage students to practice by themselves while hinting them by the final answer as well as to help instructors to give tests or quizzes.

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Literature
1.
go back to reference Rahmani-Andebili, M. (2024). Precalculus (2nd Ed.) – Practice Problems, Methods, and Solutions, Springer Nature. Rahmani-Andebili, M. (2024). Precalculus (2nd Ed.) – Practice Problems, Methods, and Solutions, Springer Nature.
2.
go back to reference Rahmani-Andebili, M. (2023). Calculus III – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef Rahmani-Andebili, M. (2023). Calculus III – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef
3.
go back to reference Rahmani-Andebili, M. (2023). Calculus II – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef Rahmani-Andebili, M. (2023). Calculus II – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef
4.
go back to reference Rahmani-Andebili, M. (2023). Calculus I (2nd Ed.) – Practice Problems, Methods, and Solutions, Springer Nature. Rahmani-Andebili, M. (2023). Calculus I (2nd Ed.) – Practice Problems, Methods, and Solutions, Springer Nature.
5.
go back to reference Rahmani-Andebili, M. (2022). Differential Equations – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef Rahmani-Andebili, M. (2022). Differential Equations – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef
6.
go back to reference Rahmani-Andebili, M. (2021). Calculus – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef Rahmani-Andebili, M. (2021). Calculus – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef
7.
go back to reference Rahmani-Andebili, M. (2021). Precalculus – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef Rahmani-Andebili, M. (2021). Precalculus – Practice Problems, Methods, and Solutions, Springer Nature.CrossRef
Metadata
Title
Partial Differential Equations: Problems
Author
Mehdi Rahmani-Andebili
Copyright Year
2025
DOI
https://doi.org/10.1007/978-3-031-71934-9_11

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