Highly Stable Super-Implicit Hybrid Methods for Special Second Order IVPs
Oluwasegun Micheal Ibrahim,
Monday Ndidi Oziegbe Ikhile
Issue:
Volume 3, Issue 3, May 2017
Pages:
21-27
Received:
29 June 2017
Accepted:
14 July 2017
Published:
31 October 2017
Abstract: The idea of symmetric super-implicit linear multi-step methods (SSILMMs) necessitates the use of not just past and present solution values of the ordinary differential equations (ODEs), but also, future values of the solution. Such methods have been proposed recently for the numerical solution of second-order ODEs. One technique to obtain more accurate integration process is to construct linear multi-step methods with hybrid points employing future solution values. In this regard, we construct families of Stӧrmer-Cowell type hybrid SSILMMs having higher order than that of the symmetric super-implicit method recently proposed for the same step number using the Taylors series approach. The newly derived hybrid SSILMMs are p-stable with accurate results when tested on some special second order IVPs.
Abstract: The idea of symmetric super-implicit linear multi-step methods (SSILMMs) necessitates the use of not just past and present solution values of the ordinary differential equations (ODEs), but also, future values of the solution. Such methods have been proposed recently for the numerical solution of second-order ODEs. One technique to obtain more accu...
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Properties of Concrete as Influenced by Shape and Texture of Fine Aggregate
Kiran Kumar Poloju,
Vineetha Anil,
Ram Kishore Manchiryal
Issue:
Volume 3, Issue 3, May 2017
Pages:
28-36
Received:
16 March 2017
Accepted:
7 April 2017
Published:
8 November 2017
Abstract: Shape and texture of aggregate is one of the major parameter that influence the properties of fresh and hardened state of concrete .The present methods on mix proportioning of normal concrete have incorporated shape characteristics of aggregate. Since the classification of aggregates is very broad .It often leads to inconsistent results and the property of concrete varies. Thus quantification of these properties is essential to further rationalize the process of concrete mix proportioning. Various codes have envisaged certain tests that indicate the shape characteristics of aggregate. Flakiness index, Elongation index and angularity number, Index of aggregates particle shape and texture (IAPST). An elaborate study covering fine aggregates with different size, grading, shape and texture characteristics is essential. However, this paper deals with the study of the influence of shape and texture of fine aggregate (natural sand, stone dust) on concrete mix proportioning. Experimental investigation was done on fine aggregate with different shape and texture characteristics, water cement ratio, water content, and coarse aggregate content for the study. Aggregate of 10 mm and 20 mm from single source as coarse aggregate and 53 grade (28 days strength of 53 Mpa) ordinary Portland cement are considered as the constant parameters.
Abstract: Shape and texture of aggregate is one of the major parameter that influence the properties of fresh and hardened state of concrete .The present methods on mix proportioning of normal concrete have incorporated shape characteristics of aggregate. Since the classification of aggregates is very broad .It often leads to inconsistent results and the pro...
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