Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Lajja Verma"'
Publikováno v:
Journal of Applied and Computational Mechanics, Vol 9, Iss 4, Pp 1122-1134 (2023)
Taylor series method is a simple analytical method, which is accessible to all non-mathematician, has slow convergence. This paper develops a new Taylor series based numerical method to overcome the shortcoming of the Taylor series while maintaining
Externí odkaz:
https://doaj.org/article/cb73c36432484b4a9030c21e8b60f44a
Publikováno v:
Mathematics, Vol 8, Iss 7, p 1045 (2020)
Several real-life problems are modeled by nonlinear singular differential equations. In this article, we study a class of nonlinear singular differential equations, explore its various aspects, and provide a detailed literature survey. Nonlinear sing
Externí odkaz:
https://doaj.org/article/1815421d4a1e4282bec1957c38d189c8
Autor:
Lajja Verma
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)
We combine suitable arithmetic average approximations, with explicit backward Euler formula, and derive a third-order -stable derivative-free error-corrected trapezoidal rule (LSDFECT). Then, we apply LSDFECT rule to the linearized Burgers' equation
Externí odkaz:
https://doaj.org/article/d1f5f8354b0b4061ac425cdca3dd3245
Autor:
Amit K. Verma, Lajja Verma
Publikováno v:
International Journal of Differential Equations, Vol 2011 (2011)
We consider the following class of nonlinear singular differential equation −(𝑝(𝑥)𝑦′(𝑥))′+𝑞(𝑥)𝑓(𝑥,𝑦(𝑥),𝑝(𝑥)𝑦′(𝑥))=0,0
Externí odkaz:
https://doaj.org/article/bc1c6bc585f84ee0aaa8bb2d4193660f
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:1276-1298
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff48aaa080aa59ea53c8f1d6584a2e0b
https://doi.org/10.1002/mma.7853
https://doi.org/10.1002/mma.7853
Publikováno v:
Asian Journal of Oncology, Vol 07, Iss 03, Pp 114-117 (2021)
Introduction External beam radiotherapy (EBRT) for head and neck (H&N) cancers continues to be delivered using varied technologies, ranging from the old two-dimensional conventional radiotherapy (2DRT) techniques to the modern three-dimensional confo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dfac9b60620103fa7c50cfe3b7c60ba
https://doi.org/10.1055/s-0040-1718636
https://doi.org/10.1055/s-0040-1718636
Autor:
Lajja Verma, Amit K. Verma
Publikováno v:
International Journal of Computer Mathematics. 92:756-771
We derive fifth-order convergent method in time for the initial value problem When applied to test equation y′=−λ y, λ>0, it gives yn+1=Ψ(z)yn, where Ψ(z) does not satisfy the condition for A-stability but Ψ(z)→0 as z→∞. To develop thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62c7bc3b793f71ea511f3c8ccd6b75a2
https://doi.org/10.1080/00207160.2014.909032
https://doi.org/10.1080/00207160.2014.909032
Publikováno v:
Arabian Journal of Mathematics. 2:91-101
In this paper we apply the Du Fort–Frankel finite difference scheme on Burgers equation and solve three test problems. We calculate the numerical solutions using Mathematica 7.0 for different values of viscosity. We have considered smallest value o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::442883ed315d1d2b2708002bfb1889c6
https://doi.org/10.1007/s40065-012-0050-1
https://doi.org/10.1007/s40065-012-0050-1
Publikováno v:
Applied Mathematics and Computation. 218:1342-1352
In this paper we develop an unconditionally stable third order time integration formula for the diffusion equation with Neumann boundary condition. We use a suitable arithmetic average approximation and explicit backward Euler formula and then develo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::934944ddd3554da3936d3c14a65f5d7a
https://doi.org/10.1016/j.amc.2011.06.017
https://doi.org/10.1016/j.amc.2011.06.017
Autor:
Lajja Verma, Kanti Pandey
Publikováno v:
Applied Mathematics. :883-889
In this work we generate the numerical solutions of the Burgers’ equation by applying the Crank-Nicolson method directly to the Burgers’ equation, i.e., we do not use Hopf-Cole transformation to reduce Burgers’ equation into the linear heat equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::216486d4dfe7f42f20b88ce76c063341
https://doi.org/10.4236/am.2011.27118
https://doi.org/10.4236/am.2011.27118