
Application of Spline Collocation to Partial Differential Equations
Spline Collocation for Partial Differential Equations
LAP Lambert Academic Publishing
Published on 16. February 2021
Book
Paperback/Softback
128 pages
978-620-3-30392-6 (ISBN)
Description
The study of differential equations is an extensive field in pure and applied Mathematics. differential equations play an important role in every physical or technical process. Differential equations like those wont to solve real-life issues might not be solvable analytically or terribly tough to possess closed-form solutions are often approximated by numerical methods. During the last few years, piecewise polynomial approximations have become very important in engineering applications. The most popular of such approximating functions are spline functions. The various features of the Spline collocation technique enhance the applicability in the field of numerical analysis to partial differential equations. The present work deals with the use of Spline collocation method to various types of linear as well as non-linear Partial Differential Equations (PDEs) under the different set of boundary conditions. LinearPDEs are solved using Spline explicit and implicit schemes while non-linear PDEs are handled withHofp-Cole transformation and Orlowski and Soczyk transformation (OST) to apply Spline collocation method.
More details
Language
English
Dimensions
Height: 220 mm
Width: 150 mm
Thickness: 9 mm
Weight
209 gr
ISBN-13
978-620-3-30392-6 (9786203303926)
Schweitzer Classification
Persons
He is presently Assistant Professor, Department of Science & Humanities, at Shankersinh Vaghela Bapu Institute of Technology. He has over 11 years of Teaching Experience at various level in Engineering. He is famous among the students.