Indians believe the Timeline of India’s History as explained by William Jones and his followers, though their theory on the dates assigned to events and persons have been proved to be incorrect by many references and most importantly by archeology.
If one were to mistrust the Hindu scriptures, the Nastika System of jainism which denies the authorit of the Vedas, has provided informationwhich tallies with the timeline and events portayed by the Puranas.
Secondly the Archeological finds dispprove the dates assined by William Jones and others and show that the events and people had happened/lived much before the dates indicated by them
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Our history textbooks tell us that Magadha (not Ayodhya) was one of India’s first kingdoms and that Buddha and Mahavira were contemporaries who lived in/ around Magadha around 600 BCE. However, when we visit the sites of India’s so-called earliest centres of civilization (e.g., Sarnath where the Buddha preached his first sermon), we see evidence from the Jain tradition that its earlier Tirthankaras8 were already living in that city hundreds of years ago.9 On top of this, the Jains appear to share the same hoary past as the Hindus do, with their first Tirthankara (Rishabhadeva) believed to be the king of Ayodhya more than 20 generations before Mahavira.
In addition to the Jain tradition, the history preserved in our native chronicles – the Puranas – appears to have some support from archaeology as well. Although most of the sites described in the Puranas are now populated and hence cannot be excavated, the few non-inhabited sites (e.g., Dwaraka) exhibit evidence of ancient civilizations. This begs the question as to whether we should truly discard the traditions preserved in India’s native chronicles or take the trouble to re-examine them in a new light. This essay presents the chronology of India as preserved by its native historians and tests the validity of this chronology when compared to independent accounts of ancient India.
The accepted chronology of ancient India is based on William Jones’s identification of Sandrocottus with Chandragupta Maurya, the first king of the Mauryan empire. This identification serves as the basis for determining the era of Buddha, the dates of the subsequent kings of Magadha and of other kingdoms of India. According to this chronology, Chandragupta Maurya ascended the throne of Magadha around 315 BCE. However, the Puranas as well as Megasthenes’s account of the milieu he lived in present a compelling case for debunking this identification and associating Sandrocottus with Chandragupta I, the founder of the Imperial Guptas. According to the Puranas, Chandragupta Maurya was crowned in 1538 BCE, Ashoka was crowned in 1489 BCE, and Chandragupta I ascended the throne of Pataliputra around 315 BCE in time to be the monarch referred to as Sandrocottus when Megasthenes arrived in Pataliputra in 302 BCE. This essay presents the evidence for this Puranic chronology and aims to resolve other conundrums in Indian history, such as the age of Vikramaditya and Adi Sankara, with this revised timeline.”
Then one has the astronomical data.
This authenticates the Puranic Data.
The problem with the astronomical data is that celestial events occur repeatedly at a fixed intervals and as such the difficulty lies in matching a particular astronomical event with the events described by our Puranas.
Then one has Kalpas, a Kalpa being one day f Lord Brahma, the Creator and He creates 14 Manvantaras.
This crestes additional dificulties to identify the Manvanatara, Kalpa and a particular event.
This one can resove by referring to the Sankalpa being used by the Hindus for every religious event.
Please read my post Geo Tagging, Sankalpa.
I became curious to check all these because i has found a refernce stating that Satyavrata Manu , the ancestor of Lord Rama migrate from the South to North because of a Tsunami.
He went to Ayodhya and founded the Dynasty called Ikshvaku.
There are five floods recoreded in Indian legends, both in Sanskrit and Tamil.
This we can resolve by matching this information with references found in other texts and by archeology.
The following verified information spurred me to search and arrive at a Kings List of India according to Puranas ans Tamil Classics.
1.Lord Rama’s Date of Birth, Marriage,Exile, Ramayana War.
2.Mahabharata War.
3.Agasthya’s crossing over to South through the Vindhyas.
4.Tamil Classics’s refernce to Tsunamis.
5.The ancestry of Tamil Cholas to Manu and of Pandyas antiquity.
6.The feeding of the armies of Kauravas and Pandavas by a Tamil King, Udiyan Neduncheralaathan.
7.The artifacts and archeological finds of the remnants of Sanatana Dharma throuhout the world.
And the Bhagavata reference to Satyavrata Manu leaving th south for the North because of a Tsunami.
I have posted articles on all these issues,under Hinduism.
List of Kings.
One may note that the Solar and Lunar dynasties married among themselves.
The list incldes the names of Bimbisara, father of Ashoka.
Reference and citations.
http://bharatbhumika.blogspot.in/2014/08/puranic-chronology-of-india.html
Related articles
https://ramanan50.wordpress.com/2014/12/03/world-history-timeline-by-rigveda/
Ramanis blog 
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