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On weighted Adams-Bashforth rules

Mohammad Masjed-Jamei ; Department of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Gradimir Milovanović ; Serbian Academy of Sciences and Arts, Beograd, Serbia
Amir Hossein Salehi Shayegan ; Department of Mathematics, K. N. Toosi University of Technology, Tehran, Iran


Puni tekst: engleski pdf 255 Kb

str. 127-144

preuzimanja: 726

citiraj


Sažetak

One class of the linear multistep methods for solving the Cauchy problems of the form y=F(x,y), y(x0)=y0, contains Adams-Bashforth rules of the form yn+1=yn+hi=0k1Bi(k)F(xni,yni), where {Bi(k)}i=0k1 are fixed numbers. In this paper, we propose an idea for weighted type of Adams-Bashforth rules for solving the Cauchy problem for singular differential equations,A(x)y+B(x)y=G(x,y),y(x0)=y0,where A and B are two polynomials determining the well-known classical weight functions in the theory of orthogonal polynomials. Some numerical examples are also included.

Ključne riječi

weighted Adams-Bashforth rule; ordinary differential equation; linear multistep method; weight function

Hrčak ID:

192137

URI

https://hrcak.srce.hr/192137

Datum izdavanja:

30.5.2018.

Posjeta: 1.381 *

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