Geodesic
A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 4, pp. 389-405

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In this article, we discuss a new single sweep compact alternating group explicit method for the solution of time dependent viscous Burgers' equation both in Cartesian and polar coordinates. An error analysis for the new iterative method is discussed in detail. We have compared the results of the proposed iterative method with the results of a corresponding double sweep alternating group explicit (AGE) iterative method to demonstrate computationally the efficiency of the proposed method. 
@article{SJVM_2015_18_4_a4,
     author = {R. K. Mohanty and J. Talwar},
     title = {A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous {Burgers'} equation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {389--405},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2015_18_4_a4/}
}
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R. K. Mohanty; J. Talwar. A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 18 (2015) no. 4, pp. 389-405. http://geodesic.mathdoc.fr/item/SJVM_2015_18_4_a4/