1-D Heat Equation in a Semi-Infinite Medium (Various Solutions) [Engineering Mathematics : PDE]

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*** Various Solution Methods

00:08 Table of Contents
00:28 Solution by Similarity Transform
04:24 Evaluation Kernel in 1-D Semi-infinite region
06:29 Integral Transform Method
08:34 Example 1 (Integral transform method)
10:54 Fourier Cosine Integral Method
13:55 Fourier Sine Integral Method
16:52 Fourier Cosine Transform Method
19:44 Fourier Sine Transform Method
22:54 Laplace Transform Method
28:59 Example 2 (Laplace transform method)

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Engineering Mathematics (PDE)
1-D Heat Equation in a Semi-Infinite Medium
(with Various B.C’s)
Solution by Various methods,
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#engineering #chemical_engineering #mathematics
#PDE #partial_differential_equations
#parabolic_equation #heat_equation #diffusion_equation
#semi-infinite region
#1st_kind_BC #Dirichlet_BC
#2nd_kind_BC #Neumann_BC
#3rd_kind_BC #Robin_BC
#combination_of_variables
#cartesian
#cartesian_coordinates #rectangular_coordinates
#heat_conduction
#problem #solution
#boundary_condition #initial_condition
#BC #IC #homogeneous
#Fourier_integral #Fourier_cosine_integral #Fourier_sine_integral
#Fourier_transform #Fourier_cosine_transform #Fourier_sine_transform
#Laplace_transform #kernel
#1D #one_dimensional

#공학 #화학공학 #공업수학 #편미분방정식 #편미방
#경계치 #초기치 #경계값 #초기값 #직교좌표 #변수조합 #열전도
#직교좌표 #1차원

#문제풀이문의  #학과목지도

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