ISSN 2394-5125
 

Research Article 


NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah.

Abstract
We developed a Galerkin method with septic B-splines as basis functions to solve a general twelfth order boundary value
problem. The basis functions have been modified into another set of basis functions which vanish on almost all boundary
conditions. To test the efficiency of the proposed method, we applied the proposed numerical method to twelfth order
linear and nonlinear boundary value problems.

Key words: Galerkin method; Septic B-spline; Basis function; Twelfth order boundary value problem; Absolute error


 
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Pubmed Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. JCR. 2020; 7(5): 2226-2231. doi:10.31838/jcr.07.05.381


Web Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. http://www.jcreview.com/?mno=131802 [Access: August 17, 2021]. doi:10.31838/jcr.07.05.381


AMA (American Medical Association) Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. JCR. 2020; 7(5): 2226-2231. doi:10.31838/jcr.07.05.381



Vancouver/ICMJE Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. JCR. (2020), [cited August 17, 2021]; 7(5): 2226-2231. doi:10.31838/jcr.07.05.381



Harvard Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah (2020) NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. JCR, 7 (5), 2226-2231. doi:10.31838/jcr.07.05.381



Turabian Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. 2020. NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. Journal of Critical Reviews, 7 (5), 2226-2231. doi:10.31838/jcr.07.05.381



Chicago Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. " NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES." Journal of Critical Reviews 7 (2020), 2226-2231. doi:10.31838/jcr.07.05.381



MLA (The Modern Language Association) Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah. " NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES." Journal of Critical Reviews 7.5 (2020), 2226-2231. Print. doi:10.31838/jcr.07.05.381



APA (American Psychological Association) Style

Sreenivasulu Ballem, Maddileti Pasupula, M.Sivaiah (2020) NUMERICAL SOLUTION OF TWELFTH ORDER BOUNDARY VALUE PROBLEMS BY GALERKIN METHOD WITH SEPTIC B-SPLINES. Journal of Critical Reviews, 7 (5), 2226-2231. doi:10.31838/jcr.07.05.381