Author
Ram Jiwari
Other affiliations: Thapar University, Federal University of Paraná, Lodz University of Technology
Bio: Ram Jiwari is an academic researcher from Indian Institute of Technology Roorkee. The author has contributed to research in topics: Nyström method & Nonlinear system. The author has an hindex of 21, co-authored 62 publications receiving 1499 citations. Previous affiliations of Ram Jiwari include Thapar University & Federal University of Paraná.
Papers
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TL;DR: An efficient numerical scheme based on uniform Haar wavelets and the quasilinearization process is proposed for the numerical simulation of time dependent nonlinear Burgers' equation and is found to be accurate, simple, fast, flexible, convenient and has small computation costs.
158 citations
TL;DR: A numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two-dimensional sine-Gordon equation with Neumann boundary conditions and it is shown that the technique is easy to apply for multidimensional problems.
137 citations
TL;DR: A hybrid numerical scheme based on Euler implicit method, quasilinearization and uniform Haar wavelets has been developed for the numerical solutions of Burgers’ equation and is found to be accurate, simple, fast, flexible, convenient and at small computation costs.
128 citations
TL;DR: A numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two dimensional hyperbolic telegraph equation with Dirichlet and Neumann boundary condition is proposed.
104 citations
TL;DR: A numerical scheme based on weighted average differential quadrature method is proposed to solve time dependent Burgers' equation with appropriate initial and boundary conditions and found that the proposed numerical scheme produce accurate results and quite easy to implement.
96 citations
Cited by
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TL;DR: To the best of our knowledge, there is only one application of mathematical modelling to face recognition as mentioned in this paper, and it is a face recognition problem that scarcely clamoured for attention before the computer age but, having surfaced, has attracted the attention of some fine minds.
Abstract: to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.
3,015 citations
01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.
1,820 citations
387 citations
240 citations
TL;DR: In this article, the sinecosine function method and Bernoulli's equation approach were used to obtain soliton solutions to optical couplers by two methods, i.e., sine-cosine method and sine equation approach.
Abstract: This paper obtains soliton solutions to optical couplers by two methods. These are sine–cosine function method and Bernoulli’s equation approach. There are four laws that are touched upon in this paper. These are Kerr law, power law, parabolic law and dual-power law. The first integration scheme is applicable to Kerr and power laws only where bright soliton solutions are retrievable. The second tool is applicable to parabolic and dual-power laws only that leads to dark and singular solitons for these two nonlinear media.
193 citations