Expanded Integral differential equations and their applications

[1] K.A. Al-Samarrai, Methods of Solving Equations, College of Science, University of Baghdad.
[2] S.I. Al-Ghabrabi and S. H. Jassim, Differential Equations, Statistical Number, Faculty of Management and
Economics, University of Baghdad, 1988.
[3] C.H. Edwards, Differential Equations and Boundary Value Problems, Prentice-Hall, XII, 2000.
[4] S.G. Mikhlin, Lectures on Linear Integral Equations, Courier Dover Publications, Moscow, 1959.
[5] R. Nusrat, Introduction to The Theory of Differential Equations, Textbook for a Special Course, Tajikistan
Dushanbe, 1992.
[6] R. Nusrat, Integral Representations and Boundary Value Problems for Some Differential Equations with a Singular
line, 1985 Part 4.
[7] I.G. Petrovsky, Lectures on The Theory of Ordinary Differential Equations, Dover Publications Inc., Moscow,
1970.
[8] V.S. Vladimirov, Equations of Mathematical Physics, Mir; Rev. from the 1981 Russian ed Edition, Moscow, 1981.
[9] R. White, An enthalpty formulation of the stefan problem, SIAM J. Numerical Anal. 19(6) (1982) 1129–1157.
[10] R. White, A numerical solution of the enthalpy formulation of the stefan problem, SIAM J. Numerical Anal. 19(6)
(1982) 1158–1172.
[11] H. Whitney, Analytic extensions of di erentiable functions de ned in closed sets, Trans. Amer. Math. Soc. 36(1)
(1934) 63–89.
[12] D. Xiu and D. M. Tartakovsky, Numerical methods for di erential equations in random domains, SIAM J. Sci.
Comput. 28(3) (2006) 1167–1185.
[13] W. Zhang and Z. Kang, Robust shape and topology optimization considering geometric uncertainties with stochastic
level set perturbation, Int. J. Numerical Meth. Engin. 110(1) (2017) 31–56.