An application of rationalized Haar functions to solution of linear partial differential equations.

*(English)*Zbl 0659.65109Based on previous articles of the authors, the rational Haar functions method is applied for solving first and second-order partial differential equations. New operational matrices of both integration and differentiation based on double rationalized Haar series is derived. Upon using these operational matrices for their solution, the partial differential equations are tranformed into matrix equations. Coefficients of double rationalized Haar series related to their solutions can be obtained by solving matrix equations. Numerical examples are presented.

Reviewer: V.A.Kostova

##### MSC:

65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |

35F15 | Boundary value problems for linear first-order PDEs |

35G15 | Boundary value problems for linear higher-order PDEs |

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\textit{M. Ohkita} and \textit{Y. Kobayashi}, Math. Comput. Simul. 30, No. 5, 419--428 (1988; Zbl 0659.65109)

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##### References:

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