Teaching Signal Processing Through Frequent and Diverse Design: A Pedagogical Approach

This paper uses the principle of compressed mapping to discuss the existence and uniqueness of the explicit finite difference method for the fractional diffusion equation with time delay. The Laplace transform method obtains the necessary expression form of the solution. At the same time, the existence theorem and the existence and uniqueness theorem of the solution to the boundary value problem is established. Finally, an example is given to verify the correctness of the conclusion. The experimental results show that the parallel algorithm proposed in this paper agrees with the exact solution.

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“…is a positive integer [3]. n i u and n i q are the numerical approximations of and ( , ) i n q x t .…”

Section: Related Backgroundmentioning

confidence: 99%

The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping

Zhang

Yang

Arbab

2023

Applied Mathematics and Nonlinear Sciences

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“…The four-year Bachelor of Quantum Engineering intentionally preserves the pedagogy, philosophy, core structure and attributes of other Bachelor of Engineering programs at UNSW, which have a common set of program learning outcomes [17]. The pedagogy is based around key principles including (i) a combination of diverse learning experiences that encourage the construction of deep conceptual knowledge and develop students' ability to apply technical and professional skills effectively [18], (ii) Kolb's experiential learning [19], in particular manifested as a design thread through every year of the program, with design courses taught predominantly using problem-based learning [20]; and (iii) intentionally preserving (throughout the program structure) the pedagogy of the existing electrical engineering program of which the quantum engineering program is a specialisation, an important consideration for accreditation and viability as discussed in Section IV.…”

Section: Degree Structure and Course Statisticsmentioning

confidence: 99%