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Hyperbolic PDE Analytical methods ConcepTest… duration 10 minutes 40 seconds Hyperbolic PDE Analytical methods ConcepTest… Hyperbolic PDE Analytical methods ConcepTest solutions	Hyperbolic PDE Analytical methods ConcepTest solutions This video goes through the solutions of all ConcepTests for the hyperbolic part of this course. pde3 engineering mathematics conceptest solution concept displacement equation wave test conditions energy problem cosine side hand condition left solutions laplace domain amplitude travelling velocity From Daniel Friedrich 0 likes 104 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created March 13th, 2021
Hyperbolic PDE Analytical methods Part 8:… duration 10 minutes 38 seconds Hyperbolic PDE Analytical methods Part 8:… Hyperbolic PDE Analytical methods Part 8: Boundary conditions	Hyperbolic PDE Analytical methods Part 8: Boundary conditions This video discusses the appropriate boundary and initial conditions for the wave equation. pde3 engineering mathematics lecture hyperbolic boundary conditions conditions equation wave solution string condition boundary laplace displacement method characteristics left side hand types domain problem 3d coordinate transform From Daniel Friedrich 0 likes 188 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created March 13th, 2021
Hyperbolic PDE Analytical methods Example 3:… duration 13 minutes 42 seconds Hyperbolic PDE Analytical methods Example 3:… Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16	Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16 Step by step solution of the wave equation with the Laplace transform method for example 9.16 from the textbook pde3 engineering mathematics example laplace transform hyperbolic equation laplace term string capital side hand solution infinity alpha times condition slide conditions domain displacement beta star velocity problem From Daniel Friedrich 0 likes 249 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created March 13th, 2021
Hyperbolic PDE Analytical methods Part 7: Laplace… duration 11 minutes 52 seconds Hyperbolic PDE Analytical methods Part 7: Laplace… Hyperbolic PDE Analytical methods Part 7: Laplace transform method	Hyperbolic PDE Analytical methods Part 7: Laplace transform method This video introduces the Laplace transform method for the hyperbolic wave equation. pde3 engineering mathematics laplace transform hyperbolic equation laplace method wave transform conditions solution side hand capital domain differential function slide differentiation derivatives respect variable variables inverse From Daniel Friedrich 0 likes 231 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created March 13th, 2021
Hyperbolic PDE Analytical methods Example 2:… duration 14 minutes 35 seconds Hyperbolic PDE Analytical methods Example 2:… Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14	Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14 Step by step solution of both cases from example 9.14. This example uses the method of separation of variables on the wave equation. pde3 engineering mathematics example wave equation hyperbolic From Daniel Friedrich 0 likes 285 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
Hyperbolic PDE Analytical methods Part 6:… duration 11 minutes 14 seconds Hyperbolic PDE Analytical methods Part 6:… Hyperbolic PDE Analytical methods Part 6: Separation of variables	Hyperbolic PDE Analytical methods Part 6: Separation of variables This video introduces the method of separation of variables or separated solutions for the wave equation. pde3 engineering mathematics lecture hyperbolic wave equation From Daniel Friedrich 0 likes 229 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
Hyperbolic PDE Analytical methods Example 1:… duration 14 minutes 59 seconds Hyperbolic PDE Analytical methods Example 1:… Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13	Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13 Step by step solution of example 9.13 which covers a wave equation problem solved by the method of characteristics. pde3 engineering mathematics example hyperbolic characteristics From Daniel Friedrich 0 likes 308 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
Hyperbolic PDE Analytical methods Part 5: Formal… duration 12 minutes 37 seconds Hyperbolic PDE Analytical methods Part 5: Formal… Hyperbolic PDE Analytical methods Part 5: Formal classification of PDEs	Hyperbolic PDE Analytical methods Part 5: Formal classification of PDEs Derive and discuss the formal classification for second order partial differential equations pde3 engineering mathematics classification lecture From Daniel Friedrich 0 likes 282 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 20th, 2021
Hyperbolic PDE Analytical methods Part 4: Method… duration 17 minutes 5 seconds Hyperbolic PDE Analytical methods Part 4: Method… Hyperbolic PDE Analytical methods Part 4: Method of characteristics	Hyperbolic PDE Analytical methods Part 4: Method of characteristics Introduce the method of characteristics for hyperbolic PDEs pde3 engineering mathematics hyperbolic lecture characteristics From Daniel Friedrich 0 likes 350 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 20th, 2021
Hyperbolic PDE Analytical methods Part 3:… duration 22 minutes 13 seconds Hyperbolic PDE Analytical methods Part 3:… Hyperbolic PDE Analytical methods Part 3: D'Alembert solution	Hyperbolic PDE Analytical methods Part 3: D'Alembert solution This video derives the d'Alembert solution for the hyperbolic wave equation. pde3 engineering mathematics lecture hyperbolic d'alembert From Daniel Friedrich 0 likes 358 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 15th, 2021
Hyperbolic PDE Analytical methods Part 2:… duration 13 minutes 16 seconds Hyperbolic PDE Analytical methods Part 2:… Hyperbolic PDE Analytical methods Part 2: Vibrating string and linear advection	Hyperbolic PDE Analytical methods Part 2: Vibrating string and linear advection This video shows that two expressions are solutions to the wave equation for two different conditions: 1) the fundamental mode of the vibrating string and 2) the linear advection problem. pde3 engineering mathematics lecture hyperbolic wave equation From Daniel Friedrich 0 likes 306 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 14th, 2021
Hyperbolic PDE Analytical methods Part 1:… duration 11 minutes 38 seconds Hyperbolic PDE Analytical methods Part 1:… Hyperbolic PDE Analytical methods Part 1: Introduction	Hyperbolic PDE Analytical methods Part 1: Introduction Introduction to the hyperbolic wave equation and derivation of the 1D wave equation. pde3 engineering mathematics hyperbolic lecture derivation wave equation From Daniel Friedrich 0 likes 312 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 14th, 2021
Parabolic PDE Analytical methods ConcepTest… duration 8 minutes 41 seconds Parabolic PDE Analytical methods ConcepTest… Parabolic PDE Analytical methods ConcepTest solutions	Parabolic PDE Analytical methods ConcepTest solutions Video with the solutions to the ConcepTests for the Analytical methods for Parabolic PDE part pde3 engineering mathematics parabolic lecture conceptest From Daniel Friedrich 0 likes 137 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 14th, 2021
Parabolic PDE Analytical methods Example 5:… duration 9 minutes 33 seconds Parabolic PDE Analytical methods Example 5:… Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction	Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction Step by step solution of the radially symmetric heat conduction or diffusion problem from example 9.24 pde3 engineering mathematics example parabolic spherical coordinate systems From Daniel Friedrich 0 likes 319 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 13th, 2021
Parabolic PDE Analytical methods Part 6:… duration 13 minutes 57 seconds Parabolic PDE Analytical methods Part 6:… Parabolic PDE Analytical methods Part 6: Spherical coordinates	Parabolic PDE Analytical methods Part 6: Spherical coordinates This video discusses the heat conduction or diffusion equation in spherical coordinates. It also introduces the scaled temperature for radially symmetric heat conduction or diffusion problems. pde3 engineering mathematics lecture parabolic spherical coordinate systems From Daniel Friedrich 0 likes 345 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 13th, 2021
Elliptic PDE Analytical methods ConcepTest… duration 14 minutes 20 seconds Elliptic PDE Analytical methods ConcepTest… Elliptic PDE Analytical methods ConcepTest solutions	Elliptic PDE Analytical methods ConcepTest solutions Video with the solutions to the ConcepTests for the Analytical methods for Elliptic PDE part pde3 engineering mathematics elliptic lecture conceptest From Daniel Friedrich 0 likes 141 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 13th, 2021