REDUCED DIFFERENTIAL TRANSFORMS APPROACH FOR HIGHLY NONLINEAR SYSTEM OF TWO DIMENSIONAL VOLTERRA INT

A SARMAN

Published Online : **18 February 2018**

[1] M.V.K. Chari and S.J. Salon, Numerical Methods in Electromagnetism, Academic Press (2000).

[2] A. J. Jerri, Introduction to Integral Equations with Applications, 2nd ed.Wiley, New York (1999).

[3] T. S. Sankar and V. I. Fabrikant, Investigations of a two-dimensional integral equation in the theory of elasticity and electrostatics, J. Mec. Theor. Appl., 2 (1983) 285{299.

[4] V. M. Aleksandrov and A. V. Manzhirov, Two-dimensional integral equations in applied mechanics of deformable solids, J. Appl. Mech. Tech. Phys., 5 (1987) 146{152.

[5] A. V. Manzhirov, Contact problems of the interaction between viscoelastic foundations subject to ageing and systems of stamps not applied simultaneously, Prikl. Matem. Mekhan., 4 (1987) 523{535.

[6] Q. Tang and D. Waxman, An integral equation describing an asexual population in a changing environment, Nonlinear Anal., 53 (2003), 683{699.

[7] A. Tari, On the existence uniqueness and solution of the nonlinear Volterra partial integro-dierential Equations, Inter. J. Nonlinear Sci., 16 (2013), no.2, 152{163.

[8] B. G. Pachpatte, Volterra integral and integro dierential equations in two variables, J. Inequal. Pure Appl. Math., 10 (2009), no. 4, 1{10.

[9] G. Q. Han and L. Q. Zhang, Asymptotic error expansion of two-dimensional Volterra integral equa- tion by iterated collocation, Appl. Math. Comput., 61 (1994), no. 2-3, 269{285.

[10] M.Kwapisz, Weighted norms and existence and uniqueness of Lp solutions for integral equations in several variables, J. Dier. Equ., 97 (1992), 246-262.

[11] R. Abazari and A. Klman, Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM, Abstr. Appl. Anal., 2013, Art. ID 929478, 10 pp.

[12] H. Brunner and J.P. Kauthen, The numerical solution of two-dimensional Volterra integral equations by collocation and iterated collocation, IMA J. Numer. Anal., 9 (1989), 47{59.

[13] M. Hadizadeh and N. Moatamedi, A new dierential transformation approach for two-dimensional Volterra integral equations, Inter. J. Comput. Math., 84 (2007), no. 4, 515{526.

[14] A. Tari, M.Y. Rahimi, S. Shahmorad and F. Talati, Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the dierential transform method, J. Comput. Appl. Math., 228 (2009), no. 1, 70{76.

[15] B. Jang, Comments on "Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the dierential transform method", J. Comput. Appl. Math., 233 (2009), no. 2, 224{ 230.

[16] M. Tavassoli Kajani and N. Akbari Shehni, Solutions of two dimensional integral equation systems by dierential transform method, Appl. Math. Comput. Eng., ISBN: 978-960-474-270-7, 74{77.

[17] Y. Keskin and G. Oturanc, Reduced dierential transform method for partial dierential equations, Int. J. Nonlinear Sci. Numer. Simul., 10 (2009), no. 6, 741{749.

[18] Y. Keskin and G. Oturanc, Reduced dierential transform method for solving linear and nonlinear wave equations, Iran. J. Sci. Technol. Trans. A Sci., 34 (2010), no. 2, 113{122. AN APPLICATION OF RDTM 10

[19] A. Saravanan and N. Magesh, A comparison between the reduced dierential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation, J. Egyptian Math. Soc., 21 (2013), no. 3, 259{265.

[20] N. Magesh and A. Saravanan, The reduced dierential transform method for solving the systems of two dimensional nonlinear Volterra integrodierential equations, Proc. Int. Conf. Math. Sci., Elsevier, (2014), 217-220.

[21] A. Saravanan and N. Magesh, An ecient computational technique for solving the FokkerPlanck equation with space and time fractional derivatives, J. King Saud Univ. Sci., 28 (2016) no. 2, 160{ 166.

[22] O. Acan, M. M. Al Qurashi and D. Baleanu, New exact solution of generalized biological population model, J. Nonlinear Sci. Appl., 10 (2017), no. 7, 3916{3929.

Recently Published Issues
Some Results on Especial Diophantine Sets with Size-3

Volume 2 Issue 1

2019 CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES

Volume 1 Issue 2

2018 A New Approach to Uncertainity Problem in The Direction of Current Neuroscience and Algebraic Inform

Volume 1 Issue 2

2018

Volume 2 Issue 1

2019 CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES

Volume 1 Issue 2

2018 A New Approach to Uncertainity Problem in The Direction of Current Neuroscience and Algebraic Inform

Volume 1 Issue 2

2018