NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

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MAHDAVI SAFOORA; TAVASSOLI KAJANI MAJID

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2010 | Volume:4 | Issue:2 (S.N. 8) Page(s): 107-117

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Information Journal Paper

Title

NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

Author(s)

MAHDAVI SAFOORA | TAVASSOLI KAJANI MAJID | Issue Writer Certificate

Keywords

WAVELETS

INTEGRO-DIFFERENTIAL EQUATION

LEGENDRE WAVELETS

OPERATIONAL MATRIX

Abstract

In this paper, the continuse Legendre WAVELETS constructed on the interval [0, 1] are used to solve the nonlinear Fredholm INTEGRO-DIFFERENTIAL EQUATION. The nonlinear part of integro-differential is ap- proximated by Legendre WAVELETS, and the nonlinear integro-differential is reduced to a system of nonlinear equations. We give some numerical examples to show applicability of the proposed method.

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References

QUADRATURE FORMULAE AND ASYMPTOTIC ERROR EXPANSIONS FOR WAVELET APPROXIMATIONS OF SMOOTH FUNCTION

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APA: Copy

MAHDAVI, SAFOORA, & TAVASSOLI KAJANI, MAJID. (2010). NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS. JOURNAL OF MATHEMATICAL EXTENSION, 4(2 (S.N. 8)), 107-117. SID. https://sid.ir/paper/559448/en

Vancouver: Copy

MAHDAVI SAFOORA, TAVASSOLI KAJANI MAJID. NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2010;4(2 (S.N. 8)):107-117. Available from: https://sid.ir/paper/559448/en

IEEE: Copy

SAFOORA MAHDAVI, and MAJID TAVASSOLI KAJANI, “NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 4, no. 2 (S.N. 8), pp. 107–117, 2010, [Online]. Available: https://sid.ir/paper/559448/en

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