Similarity solutions of fractional parabolic boundary value problems with uncertainty

2021 ◽  
pp. 105926
Author(s):  
C. Vinothkumar ◽  
A. Deiveegan ◽  
J.J. Nieto ◽  
P. Prakash
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Similarity Solutions ◽  
Parabolic Boundary ◽  
Parabolic Boundary Value Problems

scholarly journals On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Vicente Soler ◽  
Emilio Defez ◽  
Roberto Capilla ◽  
José Antonio Verdoy
Keyword(s):  
Boundary Value Problems ◽  
Series Solution ◽  
Boundary Value ◽  
Block Matrix ◽  
Coupled Systems ◽  
Parabolic Boundary ◽  
Strongly Coupled ◽  
Parabolic Boundary Value Problems ◽  
Stable Matrix

An exact series solution for nonhomogeneous parabolic coupled systems of the typeut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 0<x<1, t>0, ux, 0=fx, whereA1, A2, B1, andB2are arbitrary matrices for which the block matrix is nonsingular, andAis a positive stable matrix, is constructed.

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