Jangveladze T., Kiguradze Z. and Neta B. Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations, Academic Press, New York., (2016).
2. Dumitru B., Darzi R. and Agheli B. New study of weakly singular kernel fractional fourth- order partial integro-differential equations based on the optimum q-homotopic analysis method, J. Comput & Appl. Math., 320: 193-201 (2017).
3. Babaaghaie A. and Maleknejad K. Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet, J. Comput & Appl. Math., 317: 643-651 (2017).
4. Canuto C. and Quarteroni A. Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38: 67-86 (1982).
5. Lakestani M., Nemati Saray B. and Dehghan M. Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets, J. Comput. & Appl. Math., 235(11): 3291-3303 (2011).
6. Tahami M., Hemmat A. A. and Yousefi SA. Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet, Int. J. Wavel. Multi. Resolu.& Inf. Proce., 14(01): 1-20 (2016).
7. Lopez-Marcos J.C. A difference scheme for a nonlinear partial integro-differential equation, SIAM J. Numer. Anal., 27: 20–31(1990).
8. Xu D. On the discretization in time for a partial integro-differential equations with a weakly singular kernel I: smooth initial data, Appl. Math. Comput. 58: 1–27 (1993).
9. Xu D. On the discretization in time for a partial integro-differential equations with a weakly singular kernel II: nonsmooth initial data, Appl. Math. Comput., 58: 29–60 (1993).
10. Singh S., Patel V. K., Singh V. K. and Tohidi E. Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices, Appl. Math. & Comput., 298: 310-321 (2017).
11. Fakhar-Izadi F. and Dehghan M. Space–time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains, Comput. & Math. with Appl., 67(10): 1884–1904 (2014).
12. Tang T. A finite difference scheme for a partial integro-differential equations with a weakly singular kernel, Appl. Numer. Math., 11: 309–319 (1993).
13. Chen H. and Xu D. A compact difference scheme for an evolution equation with a weakly singular kernel, Numer. Math. Theory Methods Appl., 4: 559–572(2012).
14. Luo M., Xu D. and Limei L. A compact difference scheme for a partial integro- differential equation with a weakly singular kernel, Appl. Math. Modelling., 39(2): 947-954 (2015).
15. Spotz W. F. PhD Thesis, University of Texas at Austin, Austin, TX. (1995).