TY - JOUR ID - TI - Analytical Approximations for Nonlinear Integral and Integro-Differential Equations AU - Nabaa N. Hasan, AU - Majid R. Nasif PY - 2019 VL - 30 IS - 3 SP - 64 EP - 70 JO - Al-Mustansiriyah Journal of Science مجلة علوم المستنصرية SN - 1814635X 25213520 AB - In this work, we are concerned with how to find a solution for the nonlinear integral andintegro-differential equations using two methods Laplace transform series decomposition method (LTSDM) and Sumudu transform series decomposition method (STSDM). In these methods, the nonlinear part of the equation described in Adomian decomposition series. The Laplace and Sumudu methods are found to be reliable and accurate. Four examples are discussed to check the applicability and the simplicity of these methods. Finally, the results are tabulated and displayed graphically to make comparisons between the approximate andexact solutions.

نيتقيرط مادختساب ةيطخ ريغ ةيلضافتلا-ةيلماكتلا تلاداعملاو ةيطخ ريغ ةيلماكتلا تلاداعملا لح ةيفيك ينعن ,لمعلا اذه يفAdomian ( ةلسلستملا يف ةفوصوملا ةلداعملا نم يطخلا ريغ ءزجلا ،قرطلا هذه يف .(STSDM) و (LTSDM) قيقدتل ةلثما ةعبرأ تشقون .ةلاعف و ةقيقد نوكتل تدجو ودوميس و سلابلا يتقيرط .)decomposition seriesi.ةطوبضملا و ةيبيرقتلا لولحلا نيب ةنراقملل تاططخم لكشب تضرع جئاتنلا ًاريخا ,قرطلا هذه ةطاسب و قيبطت ةيلباق ER -