A DIRECT METHOD FOR NUMERICALLY SOLVING INTEGRAL EQUATIONS SYSTEM USING ORTHOGONAL TRIANGULAR FUNCTIONS

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BABOLIAN E.; MASOURI Z.; HATAMZADEH VARMAZYAR S.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:2 Page(s): 135-145

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Title

A DIRECT METHOD FOR NUMERICALLY SOLVING INTEGRAL EQUATIONS SYSTEM USING ORTHOGONAL TRIANGULAR FUNCTIONS

Author(s)

BABOLIAN E. | MASOURI Z. | HATAMZADEH VARMAZYAR S. | Issue Writer Certificate

Keywords

INTEGRAL EQUATIONS SYSTEM

DIRECT METHOD

VECTOR FORMS

TRIANGULAR FUNCTIONS

OPERATIONAL MATRIX

Abstract

A practical DIRECT METHOD to compute numerical solutions of the linear Volterra and Fredholm INTEGRAL EQUATIONS SYSTEM is proposed. This approach is based on VECTOR FORMS of TRIANGULAR FUNCTIONS and its operational matrices and without any integration reduces an INTEGRAL EQUATIONS SYSTEM to a system of algebraic equations. Numerical results of some examples show that the method is practical and has high accuracy.

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APA: Copy

BABOLIAN, E., MASOURI, Z., & HATAMZADEH VARMAZYAR, S.. (2009). A DIRECT METHOD FOR NUMERICALLY SOLVING INTEGRAL EQUATIONS SYSTEM USING ORTHOGONAL TRIANGULAR FUNCTIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(2), 135-145. SID. https://sid.ir/paper/572674/en

Vancouver: Copy

BABOLIAN E., MASOURI Z., HATAMZADEH VARMAZYAR S.. A DIRECT METHOD FOR NUMERICALLY SOLVING INTEGRAL EQUATIONS SYSTEM USING ORTHOGONAL TRIANGULAR FUNCTIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(2):135-145. Available from: https://sid.ir/paper/572674/en

IEEE: Copy

E. BABOLIAN, Z. MASOURI, and S. HATAMZADEH VARMAZYAR, “A DIRECT METHOD FOR NUMERICALLY SOLVING INTEGRAL EQUATIONS SYSTEM USING ORTHOGONAL TRIANGULAR FUNCTIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 2, pp. 135–145, 2009, [Online]. Available: https://sid.ir/paper/572674/en

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