Publication detail

Difference kernel iterative method for linear and nonlinear partial differential equations

KHAN, Y. FARAZ, N. ŠMARDA, Z.

Original Title

Difference kernel iterative method for linear and nonlinear partial differential equations

English Title

Difference kernel iterative method for linear and nonlinear partial differential equations

Type

journal article in Web of Science

Language

en

Original Abstract

The purpose of this paper was to propose a new method to solve partial differential equations arising in the field of science and engineering. In this new method, we have reduced the multiple integrals into a single integral and expressed it in terms of a difference kernel. To make the calculation easy and convenient, we have used the Laplace transformation to solve the difference kernel.

English abstract

The purpose of this paper was to propose a new method to solve partial differential equations arising in the field of science and engineering. In this new method, we have reduced the multiple integrals into a single integral and expressed it in terms of a difference kernel. To make the calculation easy and convenient, we have used the Laplace transformation to solve the difference kernel.

Keywords

partial differential equations; difference kernel; Laplace transformation

Released

21.03.2016

ISBN

0941-0643

Periodical

NEURAL COMPUTING & APPLICATIONS

Year of study

27

Number

3

State

GB

Pages from

671

Pages to

676

Pages count

6

Documents

BibTex


@article{BUT123152,
  author="Yasir {Khan} and Naeem {Faraz} and Zdeněk {Šmarda}",
  title="Difference kernel iterative method for linear and nonlinear partial differential equations",
  annote="The purpose of this paper was to propose a new method to solve partial differential equations arising in the field of science and engineering. In this new method, we have reduced the multiple integrals into a single integral and expressed it in terms of a difference kernel. To make the calculation easy and convenient, we have used the Laplace transformation to solve the difference kernel.",
  chapter="123152",
  doi="10.1007/s00521-015-1886-z",
  howpublished="online",
  number="3",
  volume="27",
  year="2016",
  month="march",
  pages="671--676",
  type="journal article in Web of Science"
}