Some exact solutions for radiation view factors from spheres

AIAA Journal ◽  
1981 ◽  
Vol 19 (8) ◽  
pp. 1077-1081 ◽  
Author(s):  
B. T. F. Chung ◽  
M. H. N. Naraghi
Keyword(s):  
Exact Solutions ◽  
View Factors

A New Semianalytical Algorithm for Calculating Diffuse Plane View Factors

1998 ◽  
Vol 120 (1) ◽  
pp. 279-281 ◽  
Author(s):  
A. Mavroulakis ◽  
A. Trombe
Keyword(s):  
Exact Solutions ◽  
View Factor ◽  
View Factors ◽  
Plane View

A new semianalytical algorithm for calculating diffuse plane view factors which is based on an extension of Nusselt’s sphere method is presented. For simple cases of view factor calculations where exact solutions exist, the accuracy of the algorithm is tested and compared with the accuracy of others.

Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation

2020 ◽  
Vol 11 (1) ◽  
pp. 93-100
Author(s):  
Vina Apriliani ◽  
Ikhsan Maulidi ◽  
Budi Azhari
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Internal Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Elliptic Functions ◽  
Expansion Method ◽  
Mkdv Equation ◽  
Innovative Methods ◽  
De Vries

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations. 

Conserved Quantities for the General Linear Heat Equation

2016 ◽  
pp. 4437-4439
Author(s):  
Adil Jhangeer ◽  
Fahad Al-Mufadi
Keyword(s):  
Evolution Equation ◽  
Heat Equation ◽  
Conservation Laws ◽  
Exact Solutions ◽  
Lagrangian Approach ◽  
General Linear ◽  
Conserved Quantities ◽  
Linear Heat ◽  
The Family ◽  
Partial Lagrangian

In this paper, conserved quantities are computed for a class of evolution equation by using the partial Noether approach [2]. The partial Lagrangian approach is applied to the considered equation, infinite many conservation laws are obtained depending on the coefficients of equation for each n. These results give potential systems for the family of considered equation, which are further helpful to compute the exact solutions.

Sign in / Sign up

Export Citation Format

Share Document