Numerical Methods and Methods of Approximation in Science and Engineering

2018 ◽  
Author(s):  
Karan S. Surana
1962 ◽  
Vol 16 (77) ◽  
pp. 114
Author(s):  
D. M. Y. ◽  
Ralph G. Stanton

SIAM Review ◽  
1961 ◽  
Vol 3 (4) ◽  
pp. 342-342
Author(s):  
Preston C. Hammer

2021 ◽  
Vol 7 (2) ◽  
pp. 97-101
Author(s):  
H. P. Kandel ◽  
J. Kafle ◽  
L. P. Bagale

Many physical problems, such as heat transfer and wave transfer, are modeled in the real world using partial differential equations (PDEs). When the domain of such modeled problems is irregular in shape, computing analytic solution becomes difficult, if not impossible. In such a case, numerical methods can be used to compute the solution of such PDEs. The Finite difference method (FDM) is one of the numerical methods used to compute the solutions of PDEs by discretizing the domain into a finite number of regions. We used FDMs to compute the numerical solutions of the one dimensional heat equation with different position initial conditions and multiple initial conditions. Blacksmiths fashioned different metals into the desired shape by heating the objects with different temperatures and at different position. The numerical technique applied here can be used to solve heat equations observed in the field of science and engineering.


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